Prof. Dr.

Uwe Semmelmann

Professor - Lehrstuhl für Geometrie
Institut für Geometrie und Topologie
Lehrstuhl für Geometrie

Kontakt

+49 711 685-65334

Pfaffenwaldring 57
70550 Stuttgart
Deutschland
Raum: 7.544

Sprechstunde

nach Vereinbarung

Raumplan der IGT Büros im 7. Stock, Pfaffenwaldring 57

Vorlesung Kähler-Mannigfaltigkeiten

Oberseminar Geometrie und Topologie

Fachgebiet

Dirac operators on Riemannian manifolds, Killing spinors, Quaternion Kähler geometry, Weitzenböck formulae, Special structures in Differential Geometry, e.g. nearly Kähler manifolds, weak G2-manifolds, Sasakian manifolds, conformal Killing forms, extremal metrics

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:

 

Informationen zu einzelnen Vorlesungen und Seminaren

 

Veranstaltungen im Sommersemester 2019

Veranstaltungen im Wintersemester 2018/19

Veranstaltungen im Sommersemester 2018

Veranstaltungen im Wintersemester 2017/18

Veranstaltungen im Sommersemester 2017

Veranstaltungen im Wintersemester 2016/17

Veranstaltungen im Wintersemester 2015/17

Veranstaltungen im Sommersemester 2015

Veranstaltungen im Wintersemester 2014/15

Veranstaltungen im Sommersemester 2014

Veranstaltungen im Wintersemester 2013/2014

Oberseminar SoSe13

Veranstaltungen im Wintersemester 2012/2013

Veranstaltungen im Sommersemester 2012

  • Vorlesung Geometrie 

  • Proseminar: Gruppen und Symmetrien

  • Seminar: Hyperbolische Geometrie 

Veranstaltungen im Sommersemester 2011

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

 

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