Métriques sous-riemanniennes de quasi-contact : forme normale et caustique
Metrische Zusammenhänge und Torsion bei einfachen p-Vektoren.
Metrizability of affine connections.
Metrizability of affine connections.
Metrizability of connections on two-manifolds
We contribute to the reverse of the Fundamental Theorem of Riemannian geometry: if a symmetric linear connection on a manifold is given, find non-degenerate metrics compatible with the connection (locally or globally) if there are any. The problem is not easy in general. For nowhere flat -manifolds, we formulate necessary and sufficient metrizability conditions. In the favourable case, we describe all compatible metrics in terms of the Ricci tensor. We propose an application in the calculus of...
Microlocal Approach to Tensor Tomography and Boundary and Lens Rigidity
2000 Mathematics Subject Classification: 53C24, 53C65, 53C21.This is a survey of the recent results by the author and Gunther Uhlmann on the boundary rigidity problem and on the associated tensor tomography problem.Author partly supported by NSF Grant DMS-0400869.
Minimal anti-kahler holomorphic hypersurfaces
Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron.
Minimal cones and the spherical Bernstein problem, II.
Minimal cones and the spherical Bernstein prob-lem. III.
Minimal CR-submanifolds of a six-dimensional sphere.
Minimal deformation of a non-full minimal surface in
Minimal dimensions for flat manifolds with prescribed holonomy.
Minimal Graphs in and
We construct geometric barriers for minimal graphs in We prove the existence and uniqueness of a solution of the vertical minimal equation in the interior of a convex polyhedron in extending continuously to the interior of each face, taking infinite boundary data on one face and zero boundary value data on the other faces.In , we solve the Dirichlet problem for the vertical minimal equation in a convex domain taking arbitrarily continuous finite boundary and asymptotic boundary data.We prove...
Minimal hypersurfaces in S4 with vanishing Gauss-Kronecker curvature.
Minimal Hypersurfaces in the Space Form with Three Principal Curvatures.
Minimal Hypersurfaces of a Positive Scalar Curvature Manifold.
Minimal Hypersurfaces of S4 with Constant Gauss-Kronecker Curvature.
Minimal Immersions Into Space Forms With Two Principal Curvatures.
Minimal Immersions of 2-Manifolds into Spheres.