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arXiv · 1012.5852

CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator

Mirjana Milijevic
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Abstract

Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field ξ is recurrent if there exists a 1-form v such that \nabla A = A \otimes v. We show that M is an Euclidean space under the condition that A is recurrent.

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Mirjana Milijevic. 2012-11-27. CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator. https://arxiv.org/abs/1012.5852

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