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A course in minimal surfaces / Tobias Holck Colding, William P. Minicozzi II.

Author
Colding, Tobias H.
Published
Providence, R.I. : American Mathematical Society, [2011]
Copyright Date
©2011
Physical Description
xii, 313 pages : illustrations (some color) ; 27 cm.
Additional Creators
Minicozzi, William P.

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Contents
Machine generated contents note: ch. 1 The Beginning of the Theory -- 1.The Minimal Surface Equation and Minimal Submanifolds -- 2.Examples of Minimal Surfaces in R3 -- 3.Consequences of the First Variation Formula -- 4.The Gauss Map -- 5.The Theorem of Bernstein -- 6.The Weierstrass Representation -- 7.The Strong Maximum Principle -- 8.Second Variation Formula, Morse Index, and Stability -- 9.Multi-valued Graphs -- 10.Local Examples of Multi-valued Graphs -- Appendix: The Harnack Inequality -- Appendix: The Bochner formula -- ch. 2 Curvature Estimates and Consequences -- 1.Simons' Inequality -- 2.Small Energy Curvature Estimates for Minimal Surfaces -- 3.Curvature and Area -- 4.Lp Bounds of
Subject(s)
ISBN
9780821853238 (alk. paper)
0821853236 (alk. paper)
Bibliography Note
Includes bibliographical references (pages 299-310) and index.
View MARC record | catkey: 7056765