Submanifolds with finite type Gauss map-Reference-Cited by-同舟云学术

Submanifolds with finite type Gauss map

Published:1987-04 Issue:2 Volume:35 Page:161-186
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Chen Bang-yen,Piccinni Paolo

Abstract

In this paper we study the following problem: To what extent does the type of the Gauss map of a submanifold of Em determine the submanifold? Several results in this respect are obtained. In particular, submanifolds with 1-type Gauss map are characterized. Surfaces with 1-type Gauss map and minimal surfaces of Sm−1 with 2-type Gauss map are completely classified. Some applications are also given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

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