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$L^{p}$ Willmore Functionals

Author: Mingliang Cai
Journal: Proc. Amer. Math. Soc. 127 (1999), 569-575
MSC (1991): Primary 53C20
MathSciNet review: 1458864
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Abstract: We prove some integral inequalities for immersed tori in the three sphere. The functionals considered are generalizations of the Willmore functional.

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Additional Information

Mingliang Cai
Affiliation: Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124

Keywords: Principal curvature, exponential map
Received by editor(s): January 30, 1997
Received by editor(s) in revised form: May 19, 1997
Communicated by: Christopher Croke
Article copyright: © Copyright 1999 American Mathematical Society

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