On totally umbilical -submanifolds of a Kähler manifold.
On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra
On totally umbilical submanifolds in nearly Kählerian manifolds
On totally umbilical submanifolds of a locally Minkowski manifold.
On totally umbilical submanifolds of conformally birecurrent manifolds
On totally umbilical submanifolds of Finsler spaces
The notion of a totally umbilical submanifold of a Finsler manifold is introduced. Some Gauss equations are given and some results on totally umbilical submanifolds of Riemannian manifolds are generalized. Totally umbilical submanifolds of Randers spaces are studied; a rigidity theorem and an example are given.
On totally umbilical submanifolds of manifolds with certain recurrent condition imposed on the curvature tensor.
On totally umbilical surfaces in some Riemannian spaces
On transformation groups of -linear connections in the bundle of accelerations.
On transitive submanifolds of and
On transnormal horizons of convex hypersurfaces
On transverse structures of foliations
On two natural Riemannian metrics on a tube.
On two Tensor Fields Which are Analogous to Curvature and Torsion Tensor Fields
On types of non-integrable geometrie
A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Levi-Civita connection. In the presented paper, the following non-integrable G-structures are studied: SO(3)-structures in dimension 5; almost complex structures in dimension 6; G-structures in dimension 7; Spin(7)-structures in dimension 8; Spin(9)-structures in dimension 16 and F-structures in dimension 26. G-structures admitting an affine connection with totally skew-symmetric torsion are characterized....
On Uniqueness Theoremsfor Ricci Tensor
In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth manifold and a symmetric 2-tensor , construct a metric on whose Ricci tensor equals . In particular, DeTurck and Koiso proved the following celebrated result: the Ricci curvature uniquely determines the Levi-Civita connection on any compact Einstein manifold with non-negative section curvature. In the present paper we generalize the result of DeTurck and Koiso for a Riemannian manifold with non-negative...
On Univalent Harmonic Maps Between Surfaces.
On using curvature to demonstrate stability.
On values of Gauss maps of complete minimal surfaces on annular ends.
On values of the Gauss map of complete minimal surfaces in R3.