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

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

2010-12-28

arxiv.org/abs/1012.5852v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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 {\xi} 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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