Research Fields

Differential and Riemannian geometry with applications in general relativity, symmetric spaces and their various rigidity results, spin geometry, global analysis, conformal transformations, applications of geometry to topology

Short CV

Lehrveranstaltungen

• Homogene Räume (WS 2010/11)
• Elementargeometrie (SoSe 2011)

Publications

• Conformal Einstein spaces in $N$--dimensions, Anal. Global Anal. Geom. 20 (2001), 183-197
• Scalar curvature rigidity of hyperbolic product manifolds, Math. Z. 247 (2004), 581-594
• Sectional curvature rigidity of asymptotically locally hyperbolic manifolds, Anal. Global Anal. Geom. 25 (2004), 353-364
• Scalar curvature rigidity of almost Hermitian manifolds which are asymptotic to $\mathbb{C}\mathrm{H}^{m}$, Diff. Geom. Appl. 24(4) (2006), 367-382
• Conformal Einstein spaces in $N$--dimensions: Part II, Journal of Geom. Phys. 56(3) (2006), 386-404
• Scalar curvature and asymptotic symmetric spaces, Comm. Math. Phys. 287 (2009), 395-429

Preprints

• Conformally invariant Cotton and Bach tensor in $N$--dimensions, arXiv:math.DG 0408224
• Scalar curvature rigidity of almost Hermitian spin manifolds which are asymptotically complex hyperbolic, arXiv:math.DG 0402142
• Scalar curvature on compact symmetric spaces,arXiv:1007.1832
• Homology of finite K--area,arXiv:1007.3166