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

Homepage an der Universität Köln (bis 2010)

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]
  • Generalized vector cross products and Killing forms on negatively curved manifolds,
    (with Maria Laura Barberis, Andrei Moroianu)
    [arXiv:1806.06255]
  • The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds,
    (with Yasushi Homma)
    [arXiv:1804.10602]

Publikationen:

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

    1. The  Kernel of the Rarita-Schwinger operator on Riemannian spin mannifolds,
      (with Yasushi Homma)
      [Commun. Math. Phys. (2019)]https://doi.org/10.1007/s00220-019-03324-8
    2. The Standard Laplace operator
      (with G. Weingart)
      [Manuscripta Math. 158, (2018), no. 1-2, 273-293] [arxiv:1708.04775]
    3. Killing tensors on tori
      (with Konstantin Heil und Andrei Moroianu),
      [J. Geo. Phys. 117 (2017), 1-6],[arXiv:1610.02009]
    4. Killing and Conformal Killing tensors
      (with Konstantin Heil und Andrei Moroianu),
      [J. Geom. Phys. 106 (2016), 383-400], [arXiv:1512.03734], [pdf].
    5. Generalized Killing spinors and Lagrangian graphs
      (with Andrei Moroianu),
      [Differ. Geom. Appl. 37 (2014), 141-151], [arXiv:1405.0838], [pdf].
    6. Generalized Killing spinors on Spheres
      (with Andrei Moroianu),
      [Ann. Global Anal. Geom. 46 (2014), no. 2, 129-143], [arXiv:1310.0219], [pdf].
    7. Weakly complex homogeneous spaces
      (with Andrei Moroianu),
      [J. reine angew. Math. 691 (2014), 229-244], [arXiv:1202.3363], [pdf].
    8. Generalized Killing spinors on Einstein manifolds
      (with Andrei Moroianu),
      [Internat. J. Math. 25 (2014), no. 4, 1 - 19], [arXiv:1303.6179], [pdf].
    9. Homogeneous almost quaternion-Hermitian manifolds
      (with Andrei Moroianu und Mihaela Pilca),
      [Math. Ann. 357 (2013), no. 4, 1205-1216], [arXiv:1211.4383], [pdf].
    10. Invariant four-forms and symmetric pairs
      (with Andrei Moroianu),
      [Ann. Global. Anal. Geom. 43, 107-121 (2013)], [arXiv:1202.3407], [pdf].
    11. Extrinsic hyperspheres in manifolds with special holonomy
      (with Andrei Moroianu und Tillmann Jentsch),
      [Differ. Geom. Appl. 31, 104-111 (2013)], [arXiv:1107.1603], [pdf].
    12. 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].
    13. Imaginary Kählerian Killing spinors I
      (with Nicolas Ginoux),
      [Ann. Global Anal. Geom. 40, no. 4, 467--495 (2011)], [arXiv:1102.4263], [pdf].
    14. Clifford structures on Riemannian manifolds
      (with Andrei Moroianu),
      [Adv. Math. 228, 940-967 (2011)], [arXiv:0912.4207], [pdf].
    15. 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].
    16. Infinitesimal Einstein deformations of nearly Kähler metrics,
      (with Andrei Moroianu),
      [Trans. Amer. Math. Soc. 363, 3057-3069 (2011)], [arXiv:0702455], [pdf].
    17. The Hermitian Laplace operator on nearly Kähler manifolds
      (with Andrei Moroianu)
      [Commun. Math. Phys. 294, 251-272 (2010)], [arXiv:0810.0164], [pdf].
    18. The Weitzenböck machine
      (with Gregor Weingart)
      [Compositio Math. 146, 2, 507-540 (2010)], [arXiv:0702031], [pdf].
    19. Deformations of nearly Kähler structures
      (with Andrei Moroianu und Paul-Andi Nagy),
      [Pacific J. Math. 235, 57-72 (2008)], [arXiv:0611223], [pdf].
    20. Killing forms on G2 and Spin7 manifolds
      [J. Geom. Phys. 56 (2006) 1752-1766], [arXiv:0410065 ], [pdf].
    21. 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].
    22. Killing forms on symmetric spaces
      (with Florin Belgun und Andrei Moroianu),
      [Differential Geom. Appl. 24, 215-222 (2006)], [arXiv:0409104], [pdf].
    23. Twistor forms on Riemannian products
      (with Andrei Moroianu),
      [J. Geom. Phys. 58, 1343-1345 (2008)], [arXiv:0407063], [pdf].
    24. 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].
    25. An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds
      (with Gregor Weingart),
      [J. Geom. Anal. 14 (2004), 151--170], [arXiv:0208079], [pdf].
    26. Conformal Killing forms on Riemannian Manifolds
      [Math. Z. 245 (2003), no. 3, 503--527], [arXiv:0206117], [pdf],
      [Habilitationsschrift: pdf].
    27. Twistor forms on Kähler manifolds
      (with Andrei Moroianu),
      [Ann. Sc. Norm. Super. Pisa Cl. Sci. 2, 823-845 (2003)], [arXiv:0204322], [pdf]
    28. Symmetries of contact metric manifolds
      (with Florin Belgun und Andrei Moroianu),
      [Geometriae Dedicata 101, 203-216 (2003)], [arXiv:0203090], [pdf].
    29. Scalar Curvature Estimates for Compact Symmetric Spaces
      (with Sebastian Goette)
      [Differential Geom. Appl. 16 (2002), no. 1, 65-78], [arXiv:/0010199], [pdf].
    30. Vanishing Theorems for Quaternionic Kähler Manifolds
      (with Gregor Weingart)
      [J. Reine Angew. Math. 544 (2002), 111-132], [arXiv:/0001061], [pdf].
    31. Spin^c Structures and Scalar Curvature Estimates
      (with Sebastian Goette)
      [Ann. Glob. Anal. Geom. , 20 (4):301-324 (2001)], [arXiv:/9905089], [pdf].
    32. 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].
    33. Parallel spinors and holonomy groups
      (with Andrei Moroianu),
      [J. Math. Phys. 41, 2395-2402 (2000)], [arXiv:9903062], [pdf].
    34. 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]
    35. 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].
    36. Quaternionic Killing spinors,
      (with Wolfram Kramer und Gregor Weingart)
      [Ann. Glob. Anal. Geom. 16 (1998), 63-87.], [arXiv:9706017], [pdf].
    37. A short proof of eigenvalue estimates for the Dirac operator on Riemannian and Kähler manifolds,
      [Differential Geom. Appl., proceedings, Brno (1998), 137-140], [ps]
    38. 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].
    39. 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]
    40. On nearly parallel G2-structures
      (Thomas Friedrich, Ines Kath und Andrei Moroianu),
      [J. Geom. Phys. 23, 259-286 (1997)], [hal-00126037], [pdf].
    41. 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].
    42. 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].
    43. Kählersche Killingspinoren und komplexe Kontaktstrukturen
      thesis, Humboldt Universität zu Berlin (1995).
      [ps].
    44. The Spectrum of the Dirac Operator on Complex Projective Spaces,
      (with Sönke Seifarth)
      SFB 288 preprint, no. 95, Berlin (1993), [ps].

Sommersemester 2019:

Vorlesung Differentialoperatoren auf Mannigfaltigkeiten
Ankündigung

Alle weiteren Informationen und Übungsblätter

Oberseminar Geometrie und Topologie

 

Informationen zu einzelnen Vorlesungen und Seminaren

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

Bachelorarbeiten

  • 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)

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

  • 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