Uwe Semmelmann

Preprints:

• Conformal Killing forms on nearly Kähler manifolds,
  (with Antonio M. Naveira)
  [arXiv:1903.06734]
• Metric connections with parallel skew-symmetric torsion,
  (with Richard Cleyton, Andrei Moroianu)
  [arXiv:1807.00191]

Publikationen:

Liste im: [arXiv] bzw im: [MSciN]

1. Generalized vector cross products and Killing forms on negatively curved manifolds,
   (with Laura Barberis and Andrej Moroianu)
   Geom. Dedicata (2019), https://doi.org/10.1007/s10711-019-0047-9
2. The  Kernel of the Rarita-Schwinger operator on Riemannian spin mannifolds,
   (with Yasushi Homma)
   [Commun. Math. Phys. 370 (2019), no. 23,853-871
3. The Standard Laplace operator
   (with G. Weingart)
   [Manuscripta Math. 158, (2019), no. 1-2, 273-293] [arxiv:1708.04775]
4. Killing tensors on tori
   (with Konstantin Heil und Andrei Moroianu),
   [J. Geo. Phys. 117 (2017), 1-6],[arXiv:1610.02009]
5. Killing and Conformal Killing tensors
   (with Konstantin Heil und Andrei Moroianu),
   [J. Geom. Phys. 106 (2016), 383-400], [arXiv:1512.03734], [pdf].
6. Generalized Killing spinors and Lagrangian graphs
   (with Andrei Moroianu),
   [Differ. Geom. Appl. 37 (2014), 141-151], [arXiv:1405.0838], [pdf].
7. Generalized Killing spinors on Spheres
   (with Andrei Moroianu),
   [Ann. Global Anal. Geom. 46 (2014), no. 2, 129-143], [arXiv:1310.0219], [pdf].
8. Weakly complex homogeneous spaces
   (with Andrei Moroianu),
   [J. reine angew. Math. 691 (2014), 229-244], [arXiv:1202.3363], [pdf].
9. Generalized Killing spinors on Einstein manifolds
   (with Andrei Moroianu),
   [Internat. J. Math. 25 (2014), no. 4, 1 - 19], [arXiv:1303.6179], [pdf].
10. Homogeneous almost quaternion-Hermitian manifolds
    (with Andrei Moroianu und Mihaela Pilca),
    [Math. Ann. 357 (2013), no. 4, 1205-1216], [arXiv:1211.4383], [pdf].
11. Invariant four-forms and symmetric pairs
    (with Andrei Moroianu),
    [Ann. Global. Anal. Geom. 43, 107-121 (2013)], [arXiv:1202.3407], [pdf].
12. Extrinsic hyperspheres in manifolds with special holonomy
    (with Andrei Moroianu und Tillmann Jentsch),
    [Differ. Geom. Appl. 31, 104-111 (2013)], [arXiv:1107.1603], [pdf].
13. Deformations of nearly parallel G_2-structures
    (with Bogdan Alexandrov),
    [Asian Journal of Math. Vol. 16, No. 4, 713-744 (2012)], [arXiv:1101.2143 ], [pdf].
14. Imaginary Kählerian Killing spinors I
    (with Nicolas Ginoux),
    [Ann. Global Anal. Geom. 40, no. 4, 467--495 (2011)], [arXiv:1102.4263], [pdf].
15. Clifford structures on Riemannian manifolds
    (with Andrei Moroianu),
    [Adv. Math. 228, 940-967 (2011)], [arXiv:0912.4207], [pdf].
16. Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces,
    (with Andrei Moroianu und Paul Gauduchon),
    [Invent. Math. 184, 389-403 (2011)], [arXiv:1003.5172], [pdf].
17. Infinitesimal Einstein deformations of nearly Kähler metrics,
    (with Andrei Moroianu),
    [Trans. Amer. Math. Soc. 363, 3057-3069 (2011)], [arXiv:0702455], [pdf].
18. The Hermitian Laplace operator on nearly Kähler manifolds
    (with Andrei Moroianu)
    [Commun. Math. Phys. 294, 251-272 (2010)], [arXiv:0810.0164], [pdf].
19. The Weitzenböck machine
    (with Gregor Weingart)
    [Compositio Math. 146, 2, 507-540 (2010)], [arXiv:0702031], [pdf].
20. Deformations of nearly Kähler structures
    (with Andrei Moroianu und Paul-Andi Nagy),
    [Pacific J. Math. 235, 57-72 (2008)], [arXiv:0611223], [pdf].
21. Killing forms on G2 and Spin7 manifolds
    [J. Geom. Phys. 56 (2006) 1752-1766], [arXiv:0410065 ], [pdf].
22. Killing forms on quaternion-Kähler manifolds
    (with Andrei Moroianu),
    [Ann. Global Anal. Geom. 28, 319-335 (2005)], [erratum 34, 431-432 (2008)],
    [arXiv:0403242], [pdf1], [pdf2].
23. Killing forms on symmetric spaces
    (with Florin Belgun und Andrei Moroianu),
    [Differential Geom. Appl. 24, 215-222 (2006)], [arXiv:0409104], [pdf].
24. Twistor forms on Riemannian products
    (with Andrei Moroianu),
    [J. Geom. Phys. 58, 1343-1345 (2008)], [arXiv:0407063], [pdf].
25. Unit Killing vector fields on nearly Kähler manifolds
    (with Andrei Moroianu und Paul-Andi Nagy),
    [Internat. J. Math. 16, 281-301 (2005)], [arXiv:0406492], [pdf].
26. An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds
    (with Gregor Weingart),
    [J. Geom. Anal. 14 (2004), 151--170], [arXiv:0208079], [pdf].
27. Conformal Killing forms on Riemannian Manifolds
    [Math. Z. 245 (2003), no. 3, 503--527], [arXiv:0206117], [pdf],
    [Habilitationsschrift: pdf].
28. Twistor forms on Kähler manifolds
    (with Andrei Moroianu),
    [Ann. Sc. Norm. Super. Pisa Cl. Sci. 2, 823-845 (2003)], [arXiv:0204322], [pdf]
29. Symmetries of contact metric manifolds
    (with Florin Belgun und Andrei Moroianu),
    [Geometriae Dedicata 101, 203-216 (2003)], [arXiv:0203090], [pdf].
30. Scalar Curvature Estimates for Compact Symmetric Spaces
    (with Sebastian Goette)
    [Differential Geom. Appl. 16 (2002), no. 1, 65-78], [arXiv:/0010199], [pdf].
31. Vanishing Theorems for Quaternionic Kähler Manifolds
    (with Gregor Weingart)
    [J. Reine Angew. Math. 544 (2002), 111-132], [arXiv:/0001061], [pdf].
32. Spin^c Structures and Scalar Curvature Estimates
    (with Sebastian Goette)
    [Ann. Glob. Anal. Geom. , 20 (4):301-324 (2001)], [arXiv:/9905089], [pdf].
33. The point spectrum of the Dirac operator on noncompact symmetric spaces
    (with Sebastian Goette)
    [Proc. Amer. Math. Soc. 130 (2002), no. 3, 915-923], [arXiv:/9903177], [pdf].
34. Parallel spinors and holonomy groups
    (with Andrei Moroianu),
    [J. Math. Phys. 41, 2395-2402 (2000)], [arXiv:9903062], [pdf].
35. Spinors, Self-Duality and IP Algebraic Curvature Tensors
    (with Peter Gilkey)
    Proceedings of the Symposium on Contemporary Mathematics
    18-20 December 1998, Belgrade, Serbia [eps]
36. The First Eigenvalue of the Dirac Operator on Quaternionic Kähler Manifolds,
    (with Wolfram Kramer und Gregor Weingart)
    [Comm. Math. Phys. 199 (1998), 327-349], [arXiv:9709014], [pdf].
37. Quaternionic Killing spinors,
    (with Wolfram Kramer und Gregor Weingart)
    [Ann. Glob. Anal. Geom. 16 (1998), 63-87.], [arXiv:9706017], [pdf].
38. A short proof of eigenvalue estimates for the Dirac operator on Riemannian and Kähler manifolds,
    [Differential Geom. Appl., proceedings, Brno (1998), 137-140], [ps]
39. Killing spinors are Killing vector fields in Riemannian Supergeometry,
    (with D.V. Alekseevsky, V. Cortes und C. Devchand)
    [J. Geom. Phys. 26 (1998), no. 1-2, 37--50], [arXiv:9704002], [pdf].
40. Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds,
    (with Wolfram Kramer und Gregor Weingart)
    [Math. Z. 230, 4 (1999), 727--751] [arXiv:9703021], [pdf]
41. On nearly parallel G₂-structures
    (Thomas Friedrich, Ines Kath und Andrei Moroianu),
    [J. Geom. Phys. 23, 259-286 (1997)], [hal-00126037], [pdf].
42. Kählerian Killing spinors, complex contact structures and twistor spaces
    (with Andrei Moroianu),
    [C. R. Acad. Sci. I Math. 323, 57-61 (1996)], [arXiv:9502003], [pdf].
43. Complex Contact Structures and the First Eigenvalue of the Dirac Operator on Kähler Manifolds,
    (with Klaus-Dieter Kirchberg)
    [Geom. and Funct. Analysis 5 (1995), 604-618], [ps].
44. Kählersche Killingspinoren und komplexe Kontaktstrukturen
    thesis, Humboldt Universität zu Berlin (1995).
    [ps].
45. The Spectrum of the Dirac Operator on Complex Projective Spaces,
    (with Sönke Seifarth)
    SFB 288 preprint, no. 95, Berlin (1993), [ps].

Wintersemester 2019/2020:

Vorlesung Kähler-Mannigfaltigkeiten

Ankündigung Seminar Kalibrierte Geometrien:
Terminliste
Literatur zum Seminar:

• R. Harvey, H. B. Lawson: Calibrated Geometries, Acta. Math. (1982
• D. Joyce: Riemannian Holonomy groups and Calibrated Geometry
• R. Harvey: Spinors and Calibrations
• J. Lotay: Calibrated Submanifolds, (2018)

Informationen zu einzelnen Vorlesungen und Seminaren

Veranstaltungen im Sommersemester 2019

• Vorlesung Differentialoperatoren auf Mannigfaltigkeiten
• Oberseminar Geometrie und Topologie

Veranstaltungen im Wintersemester 2018/19

• Vorlesung HM 3
• Hauptseminar: De Rham-Kohomologie
• Oberseminar Geometrie und Topologie

Veranstaltungen im Sommersemester 2018

• Vorlesung Geometrie 

• Hauptseminar: Der Laplace-Operator auf Riemannschen Mannigfaltigkeiten

• Hauptseminar: Zahlen 

• Oberseminar SoSe 2018

Veranstaltungen im Wintersemester 2017/18

• Vorlesung Topologie 

• Seminar Zahlen (Dienstag) WiSe 17/18  

• Seminar Zahlen (Donnerstag) WiSe 17/18

• Oberseminar WiSe17/18

Veranstaltungen im Sommersemester 2017

• Vorlesung Geometrie

• Vorlesung Komplexe Geometrie A: Kähler Mannigfaltigkeiten

• Oberseminar SoSe17

Veranstaltungen im Wintersemester 2016/17

• Vorlesung Differential-Geometrie

• Vorlesung Index-Theorie 1 (Spingeometrie und Diracoperatoren)

• Oberseminar WiSe16/17

Veranstaltungen im Wintersemester 2015/17

• Vorlesung Topologie

• Oberseminar WiSe15/16 

Veranstaltungen im Sommersemester 2015

• Lineare Algebra II

• Oberseminar SoSe15 

Veranstaltungen im Wintersemester 2014/15

• Lineare Algebra I

• Oberseminar WiSe14/15 

Veranstaltungen im Sommersemester 2014

• Spingeometrie und Diracoperatoren

• Oberseminar SoSe14 

Veranstaltungen im Wintersemester 2013/2014

• Vorlesung Differentialoperatoren auf Mannigfaltigkeiten

• Hauptseminar: Spin-Geometrie und Dirac-Operatoren

• Oberseminar WS13/14

Oberseminar SoSe13

Veranstaltungen im Wintersemester 2012/2013

• Vorlesung Differential-Geometrie

• Hauptseminar: Lie-Gruppen und Darstellungstheorie

Veranstaltungen im Sommersemester 2012

• Vorlesung Geometrie 

• Proseminar: Gruppen und Symmetrien

• Seminar: Hyperbolische Geometrie 

Veranstaltungen im Sommersemester 2011

• Vorlesung Riemannsche Geometrie

• Proseminar-Zahlen

Veranstaltungen im Wintersemester 2010/2011

• Vorlesung Differentialgeometrie

Homepage an der Universität Köln (bis 2010)

Bachelorarbeiten

• Das Theorem von Obata (2019)
• Die Hopf-Invariante (2019)
• Die exzeptionelle Lie-Gruppe G2 (2018)
  
• Die Hitchin-Thorpe-Ungleichung auf vierdimensionalen Einstein-Mannigfaltigkeiten (2018)
• Orientierung von Mannigfaltigkeiten (2017)
• Kähler-Geometrie von Flaggenmannigfaltigkeiten (2017)
• Äquivalenzen 2-Punkt-homogener Räume (2015)
• Minimalflächen(2014)
• Geometrie der Hopf-Faserung (2014)
• Einstein-Metriken auf Riemannschen Submersionen (2013)
• Die Nearly Kähler Struktur der S6 (2013)

Masterarbeiten

• Die Eguchi-Hanson Metrik (2019)

Diplomarbeiten

• On the Lichnerowicz Laplace operator and its application to stability of spacetimes (2013)
• Die Sasaki-Metrik auf dem Tangential- und dem Sphärenbündel (2011)
• Lifting SU(3)-structures to nearly parallel G2-structures
• Intrinsische Torsion und Ricci-Krümung von SU(3)-Strukturen (2006)
• Das Spektrum des Diracoperators auf der Moufang-Ebene OP2 (2004)

Staatsexamensarbeiten

• Der Fundamentalsatz der Algebra (2019)
• Ein Einblick in die Welt der tranzendierenden Zahlen (2019)
• Divisionsalgebren und Vektorkreuzprodukte (2019)
• Graphentheorie in der Schule (2018)
• Geometirsche Axiomatik am Beispiel von affiner und hyperbolischer Geometrie (2014)
• Theorie der Enveloppen und Anwendungen (2014)
• Minimalflächen (2008)

Promotionen

• Konstantin Heil:Killing and Conformal Killing Tensors (2017)
• Sebastian Stock: Evolution of Geometries with Torsion (2010)
• Christian Stromenger: Sasakian Manifolds: Differential Forms, Curvature and Conformal Killing Forms (2010)
• Mihaela Pilca: Generalized Gradients of G-Structures and Kählerian Twistor Spinors (2009)

PDF verschiedener Abschlussarbeiten

• Bogdan Alexandrov (1)
• Dmitri Alekseevsky(1)
• Florin Belgun (2)
• Vicente Cortes(1)
• Chand Devchand (1)
• Thomas Friedrich (1)
• Paul Gauduchon(1)
• Peter Gilkey (1)
• Nicolas Ginoux (1)
• Sebastian Goette(3)
• Tillmann Jentsch (1)
• Ines Kath (1)
• Klaus-Dieter Kirchberg (1)
• Wolfram Kramer (3)
• Andrei Moroianu (18)
• Paul-Andi Nagy (2)
• Mihaela Pilca 1)
• Sönke Seifarth (1)
• Gregor Weingart 6