Zur Relativgeometrie: Symmetrische Zusammenhänge auf Hyperflächen.
Minkowskische Integralformeln und ihre Anwendungen in der Differentialgeometrie im Großen
Compact Conformally Symmetric Riemannan Spaces.
Isometries with Spheres.
Probleme der lokalen und globalen mehrdimensionalen Differentialgeometrie.
Einstein Spaces Isometrically Diffeomorphic to a Sphere.
On differential operators of second order on Riemannian manifolds with nonpositive curvature
Complete gradient Ricci solitons
For complete gradient Ricci solitons we state necessary conditions for a non-trivial soliton structure in terms of intrinsic curvature invariants.
Zur Indexmethode in der Differentialgeometrie im Großen.
Minimal Immersions of 2-Manifolds into Spheres.
Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie.
Parallel hypersurfaces
We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
Affine spheres with constant affine sectional cuvature.
A two-step Monge-Ampère procedure for solving a fourth order PDE for affine hypersurfaces with constant curvature.
Eigenvalues of the Laplacian and curvature
Surfaces with prescribed Weingarten operator
We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Algebraic theory of affine curvature tensors
We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.
Spectral invariants of affine hypersurfaces.
Applications of spectral geometry to affine and projective geometry.
A new intrinsic curvature invariant for centroaffine hypersurfaces.
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