Inégalités isosystoliques conformes
Inequalities between the radii of spheres that are connected with a convex surface in a space of constant curvature.
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.
Inequalities for radial Blaschke-Minkowski homomorphisms
We establish Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.
Inequalities of Willmore Type for Submanifolds.
Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds.
Inexistence de structures affines sur les fibrés de Seifert.
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.
We show how an operation of inf-convolution can be used to approximate convex functions with C1 smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, symmetries, infima and sets of minimizers), and we give some applications.
Infinite boundary value problems for surfaces of prescribed mean curvature
Infinite number of spheres through four tangents. (Unendlich viele Kugeln durch vier Tangenten.)
Infinite periodic discrete minimal surfaces without self-intersections.
Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits
In this paper, we construct a hyperkähler structure on the complexification of any Hermitian symmetric affine coadjoint orbit of a semi-simple -group of compact type, which is compatible with the complex symplectic form of Kirillov-Kostant-Souriau and restricts to the Kähler structure of . By a relevant identification of the complex orbit with the cotangent space of induced by Mostow’s decomposition theorem, this leads to the existence of a hyperkähler structure on compatible with...
Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds
Infinitesimal affine deformations of submanifolds of a Riemannian manifold
Infinitesimal aspects of the Laplace operator.
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.