Infinite boundary value problems for surfaces of prescribed mean curvature
Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds
Infinitesimal affine deformations of submanifolds of a Riemannian manifold
Infinitesimal automorphisms and deformations of parabolic geometries
We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de Rham sequence associated to a certain linear connection on the adjoint tractor bundle. For regular normal geometries, this description can be related to the underlying geometric structure using the machinery of BGG sequences. In the locally flat case, this leads to a deformation complex, which generalizes the well known complex for locally conformally...
Infinitesimal automorphisms of some G-structures
Infinitesimal bending of a subspace of a space with non-symmetric basic tensor
In this work infinitesimal bending of a subspace of a generalized Riemannian space (with non-symmetric basic tensor) are studied. Based on non-symmetry of the connection, it is possible to define four kinds of covariant derivative of a tensor. We have obtained derivation formulas of the infinitesimal bending field and integrability conditions of these formulas (equations).
Infinitesimal Blaschke conjectures on projective spaces
Infinitesimal characterization of almost Hermitian homogeneous spaces
In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer , the covariant derivatives of the curvature tensor up to order and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.
Infinitesimal holonomy group structure and geometrization
Infinitesimal isometric variation of semi-Riemannian submanifolds.
Infinitesimal rigidity of Euclidean submanifolds
A submanifold of the Euclidean space is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.
Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert-Einstein functional [Book]
Infinitesimal rigidity of surfaces in
Infinitesimal symplectic relations and generalized hamiltonian dynamics
Infinitesimal Variation Of Hyperspaces Of A GF Structure Mainfold
Injectivité de la transformation de Radon sur les grassmanniennes
Injectivity radius and low eigenvalues of hyperbolic manifolds.
Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature
We review recent work on the local geometry and optimal regularity of Lorentzian manifolds with bounded curvature. Our main results provide an estimate of the injectivity radius of an observer, and a local canonical foliations by CMC (Constant Mean Curvature) hypersurfaces, together with spatially harmonic coordinates. In contrast with earlier results based on a global bound for derivatives of the curvature, our method requires only a sup-norm bound on the curvature near the given observer.
Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.
Instability of constant mean curvature surfaces of revolution in spherically symmetric spaces.