Title of article
Biharmonic submanifolds with parallel mean curvature vector field in spheres
Author/Authors
Balmu?، نويسنده , , A. and Oniciuc، نويسنده , , C.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
12
From page
619
To page
630
Abstract
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean curvature vector field in spheres is obtained. Then, we completely classify the proper biharmonic submanifolds in spheres with parallel mean curvature vector field and parallel Weingarten operator associated to the mean curvature vector field.
Keywords
Biharmonic maps , Biharmonic submanifolds , Minimal submanifolds , Mean Curvature
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562355
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