Abstract Contents § 1. Introduction § 2. Affine classification of points of multidimensional
surfaces 2.1. Main results 2.2. Proof of Theorem 2.1. 1 2.3. Classification of points of 3 …

This article studies complete-dimensional surfaces of nonpositive extrinsic 2-dimensional
sectional curvature and nonpositive-dimensional curvature (for even) in Euclidean space, in …

This paper investigates the metric structure of compact-parabolic surfaces and topological
properties of-saddle surfaces in the sense of Šefel'in symmetric spaces of rank one, namely …

On the normal bundle of a submanifold in a Riemannian space a natural Riemannian metric
is introduced. The structure of surfaces with strongly parabolic normal bundle metric is …

The structure of parabolic surfaces in a Riemannian space is studied. Conditions are
determined for compact parabolic surfaces to be totally geodesic. The proof uses the normal …

We study complete, strongly parabolic metrics with constant relative index of nullity μ c= k
and complete, strongly parabolic surfaces with constant index of relative nullity v= k in a …

We prove a theorem on ruled surfaces that generalizes a theorem of Ferus on totally
geodesic foliations. On the basis of this theorem we obtain criteria for totally geodesic …

This paper investigates surfaces of nonpositive extrinsic curvature in a pseudo-Riemannian
space of curvature 1, Kählerian submanifolds of complex projective space, and saddle …

Abstract Contents Introduction § 1. Parabolic submanifolds 1.1. Point structure of the space
of second fundamental forms of a k-parabolic surface 1.2. Normal bundle of a manifold 1.3 …

Гладкая поверхность F2 в S3 однозначно проектируется на большую сферу S02, если
касательные большие сферы к F2 не проходят через по лярные к S02 точки 01? 02 …