Differential geometry of Cartan domains of type four
In this note we compute the sectional curvature for the Bergman metric of the Cartan domain of type IV and we give a classification of complex totally geodesic manifolds for this metric.
Differential geometry of indefinite complex submanifolds in indefinite complex space forms.
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Dirac and Plateau billiards in domains with corners
Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize geometry,...
Dirac submanifolds and Poisson involutions
Doubly warped product -submanifolds in a locally conformal Kähler space form.
Doubly warped product submanifolds of (κ,μ)-contact metric manifolds
We establish sharp inequalities for C-totally real doubly warped product submanifolds in (κ,μ)-contact space forms and in non-Sasakian (κ,μ)-contact metric manifolds.
Eigenvalues of a natural operator of centro-affine and graph hypersurfaces.
Eigenvalues of the Laplacian and curvature
Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen.
Eine lokale Charakterisierung der Veronesemannigfaltigkeiten.
Einstein Complete Intersections in Complex Projektive Space.
Einstein Kähler Submanifolds with Codimension 2 in a Complex Space Form.
Einstein-Weyl structures on lightlike hypersurfaces
We study Weyl structures on lightlike hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties of Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for ambient Lorentzian space ℝ1n+2 and a totally umbilical screen foliation, there is a strong interplay with the induced (Riemannian) Weyl-structure on the leaves.
Embedding and surrounding with positive mean curvature.
Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature
Equivalence of Glancing Hypersurfaces. II.
Erratum : “On the geometry of subbundles and Lagrange foliations”
Erratum to "Extrinsic symmetric spaces and orbits of s-representations".
Estimation of the best constant involving the norm of the higher-order Wente problem.