# Mathematical Collection Send your comments on adress bwm@icm.edu.pl

Rozprawy Matematyczne

## Volume 322

Some contributions to the differential geometry of submanifolds

Barbara Opozda

Warszawa 1992

#### Contents

 Tom CCCXXII Some contributions to the differential geometry of submanifolds I. 1. Introduction 2. Preliminaries 3. On Simon’s conjecture II. Pinching theorems for submanifolds of the nearly Kähler 6-sphere 1. The nearly Kähler structure on S6(1) 2. 3-dimensional totally real submanifolds of S6 3. Totally real surfaces in S6 III. Surfaces in complex and Sasakian space forms with parallel mean curvature vector 1. Totally real surfaces in Kähler manifolds 2. Surfaces of genus 0 with parallel mean curvature vector 3. Reduction theorems 4. Surfaces of genus 0, C-totally real immersed in Sasakian space forms with parallel mean curvature vector References
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