Article ID Journal Published Year Pages File Type
4606424 Differential Geometry and its Applications 2010 21 Pages PDF
Abstract

In this paper we study tangential degeneracy of the orbits of s-representations in the sphere. We show that the orbit of an s  -representation is tangentially degenerate if and only if it is through a long root, or a short root of restricted root system of type G2G2. Moreover these orbits provide many new examples of tangentially degenerate submanifolds which satisfy the Ferus equality.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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