赫尔曼作用轨道的几何性质

Pub Date : 2021-01-04 DOI:10.3836/tjm/1502179367

S. Ohno

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引用次数: 1

摘要

本文研究了Hermann作用的轨道作为子流形的性质，而不假设定义Hermann作用的对合的可交换性。特别地，我们计算了Hermann作用轨道的第二种基本形式，并给出了Hermann作用轨道弱反射的充分条件。干旱)子流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Geometric Properties of Orbits of Hermann actions

In this paper, we investigate properties of orbits of Hermann actions as submanifolds without assuming the commutability of involutions which define Hermann actions. In particular, we compute the second fundamental form of orbits of Hermann action, and give a sufficient condition for orbits of Hermann action to be weakly reflective (resp. arid) submanifolds.

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