Willmore Functionals

Author:
Mingliang Cai

Journal:
Proc. Amer. Math. Soc. **127** (1999), 569-575

MSC (1991):
Primary 53C20

DOI:
https://doi.org/10.1090/S0002-9939-99-04484-6

MathSciNet review:
1458864

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Abstract | References | Similar Articles | Additional Information

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

Email:
mcai@math.miami.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-04484-6

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