Willmore submanifolds in the unit sphere.
Collectanea Mathematica (2004)
- Volume: 55, Issue: 3, page 279-287
- ISSN: 0010-0757
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topZhen, Guo. "Willmore submanifolds in the unit sphere.." Collectanea Mathematica 55.3 (2004): 279-287. <http://eudml.org/doc/44346>.
@article{Zhen2004,
abstract = {In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.},
author = {Zhen, Guo},
journal = {Collectanea Mathematica},
keywords = {Submanifolds; Geometric tori; Unit sphere},
language = {eng},
number = {3},
pages = {279-287},
title = {Willmore submanifolds in the unit sphere.},
url = {http://eudml.org/doc/44346},
volume = {55},
year = {2004},
}
TY - JOUR
AU - Zhen, Guo
TI - Willmore submanifolds in the unit sphere.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 3
SP - 279
EP - 287
AB - In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.
LA - eng
KW - Submanifolds; Geometric tori; Unit sphere
UR - http://eudml.org/doc/44346
ER -
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