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Generalized Willmore Functionals of a Submanifold and Related Variational Problems

Author: ZhangJiaLing
Tutor: GuoZhen
School: Yunnan Normal University
Course: Basic mathematics
Keywords: Conformal differential geometry Conformal invariants Conformal second fundamental form Generalized Newton operator Willmore functional Generalized Willmore functionals
CLC: O177
Type: Master's thesis
Year: 2006
Downloads: 29
Quote: 1
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Abstract


In this paper. We study the following tow classes of questions: one is the consruction of conformal invariants of submanifolds in conformal differential geometry; another is the problem of variation of these conformal invariant funtionals, at last showing concrete examples of minimal submanifolds. We use the method of moving frame to study submanifolds in conformal differential geometry, and construct new minimal submanifolds.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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