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June 1998 A THEOREM OF PICK– BERWALD TYPE FOR A TOTALLY UMBILICAL AFFINE IMMERSION OF GENERAL CODIMENSION
Naoyuki Koike, Yoko Torisawa
Author Affiliations +
SUT J. Math. 34(2): 169-177 (June 1998). DOI: 10.55937/sut/991985347

Abstract

It is known that a totally umbilical affine immersion of general codimension into an affine space is affinely congruent to a graph immersion or a centro-affine immersion. In this paper, we shall investigate a more detailed property of such an immersion.

Acknowledgement

The authors would like to express their sincere gratitude to Professor S. Yamaguchi for his helpful advice and to Professor N. Abe for his constant encouragement.

Citation

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Naoyuki Koike. Yoko Torisawa. "A THEOREM OF PICK– BERWALD TYPE FOR A TOTALLY UMBILICAL AFFINE IMMERSION OF GENERAL CODIMENSION." SUT J. Math. 34 (2) 169 - 177, June 1998. https://doi.org/10.55937/sut/991985347

Information

Received: 26 October 1998; Published: June 1998
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/991985347

Subjects:
Primary: 53A15

Keywords: affine fundamental form , affine shape tensor , hyperquadric , totally umbilical affine immersion

Rights: Copyright © 1998 Tokyo University of Science

Vol.34 • No. 2 • June 1998
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