Closed conformal vector fields and Lagrangian submanifolds in complex space forms
نویسندگان
چکیده
منابع مشابه
Closed Conformal Vector Fields and Lagrangian Submanifolds in Complex Space Forms
We study a wide family of Lagrangian submanifolds in nonflat complex space forms that we will call pseudoumbilical because of their geometric properties. They are determined by admitting a closed and conformal vector field X such that X is a principal direction of the shape operator AJX , being J the complex structure of the ambient manifold. We emphasize the case X = JH, where H is the mean cu...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2001
ISSN: 0030-8730
DOI: 10.2140/pjm.2001.199.269