The study of submanifolds of finite type began in the late 1970's through the author's
attempts to find the best possible estimate of the total mean curvature of a compact …

The warped product N< sub> 1×< sub> f N< sub> 2 of two Riemannian manifolds (N< sub>
1, g< sub> 1) and (N< sub> 2, g< sub> 2) is the product manifold N< sub> 1× N< sub> 2 …

The first part of this book provides a self-contained and accessible introduction to the subject
in the general setting of pseudo-Riemannian manifolds and their non-degenerate …

Page 1 Grundlehren der mathematischen Wissenschaften 285 A Series of Comprehensive
Studies in Mathematics Yu. D. Burago VA Zalgaller Geometric Inequalities $ Springer-Verlag …

(1.1) Ax=--nil, where H is the mean curvature vector of M in Em. From (1.1), it follows that an
immersed submanifold of positive dimension in a Euclidean space is a minimal submanifold …

Developments in this field have been so extensive since the author's work Introduction to
Differential Geometry that a new book with particular emphasis on recent work in …

Page 1 Differential Geometry. Lightlike Submanifolds Page 2 Page 3 Frontiers in Mathematics
Advisory Editorial Board Leonid Bunimovich (Georgia Institute of Technology, Atlanta) Benoît …

A slant immersion is defined as an isometric immersion from a Riemannnian manifold into
an almost Hermitian manifold with constant Wirtinger angle. In this article we give some …

This book provides the first-ever systematic introduction to the theory of Riemannian
submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades …

1. INTRODUCTION. Let E3 denote Euclidean three-space, with its inner product〈,〉.
Consider a unit-speed space curve x: I→ E3, where I=(α, β) is a real interval, that has at least …