On the Wave Equation Asymptotics of a Compact Negatively Curved Surface.
On the wave equation in curved spacetime
On the Wave Equation on a Compact Riemannian Manifold withour Conjugate Points.
On third order semiholonomic prolongation of a connection
We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.
On Tight Immersions of Maximal Codimension.
On topological Tits buildings and their classification
On tori having poles.
On Tori with Parallel Mean Curvature Vector in a Space of Constant Curvature.
On tori without conjugate points.
On torsion of a -web
A 3-web on a smooth -dimensional manifold can be regarded locally as a triple of integrable -distributions which are pairwise complementary, [5]; that is, we can work on the tangent bundle only. This approach enables us to describe a -web and its properties by invariant -tensor fields and where is a projector and id. The canonical Chern connection of a web-manifold can be introduced using this tensor fields, [1]. Our aim is to express the torsion tensor of the Chern connection through...
On total curvature of immersions and minimal submanifolds of spheres
For closed immersed submanifolds of Euclidean spaces, we prove that , where is the mean curvature field, the volume of the given submanifold and is the radius of the smallest sphere enclosing the submanifold. Moreover, we prove that the equality holds only for minimal submanifolds of this sphere.
On totally real minimal submanifolds in complex projective space
In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective space.
On totally real submanifolds in a nearly Kähler manifold.
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 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 transformation groups of -linear connections in the bundle of accelerations.
On transnormal horizons of convex hypersurfaces