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Seminar On Minimal Submanifolds
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Edited by:
Language:
English
Published/Copyright:
2016
About this book
A classic treatment of minimal submanifolds from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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Frontmatter
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CONTENTS
v -
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INTRODUCTION
vii -
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SURVEY LECTURES ON MINIMAL SUBMANIFOLDS
1 -
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ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES
53 -
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EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS
65 -
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ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES?
99 -
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ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS
111 -
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REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP
127 -
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CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS
147 -
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MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS
169 -
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MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE
177 -
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REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX
199 -
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AFFINE MINIMAL SURFACES
207 -
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THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM
217 -
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NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR
225 -
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APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS
243 -
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SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS
261 -
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ON THE GEHRING LINK PROBLEM
271 -
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CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES
275 -
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REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY
293 -
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NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS
303 -
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SOME PROPERTIES OF CAPILLARY FREE SURFACE
323 -
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BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY
339 -
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Backmatter
359
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 20, 2016
eBook ISBN:
9781400881437
Pages and Images/Illustrations in book
eBook ISBN:
9781400881437
Keywords for this book
Theorem; Minimal surface; Closed geodesic; Submanifold; Riemann surface; Periodic function; Existential quantification; Hurewicz theorem; Riemannian manifold; Stein's lemma; Codimension; Free boundary problem; Second fundamental form; Lipschitz continuity; Hyperbolic 3-manifold; Schwarz reflection principle; Uniqueness theorem; Existence theorem; Equation; Hypersurface; Norm (mathematics); Divergence theorem; Gauss map; Yamabe problem; Dirac operator; Klein bottle; Orthonormal basis; Geodesic; Branch point; Limit set; Isoperimetric problem; Homotopy; Maxima and minima; Subsequence; Poincaré conjecture; Cauchy–Riemann equations; Configuration space; Harmonic map; Hausdorff measure; Kleinian group; Hausdorff dimension; A priori estimate; Discrete group; Projection (linear algebra); Boundary (topology); Degeneracy (mathematics); Regularity theorem; Elementary proof; Fundamental group; Infimum and supremum; Monotonic function; Eigenvalues and eigenvectors; Semi-continuity; Bounded set (topological vector space); Hyperbolic space; Geometry; Tangent space; Compactness theorem; Variational principle; Center manifold; Cohomology; Group action; Homotopy group; Diffeomorphism; Simply connected space; Banach space; Isolated singularity; Symplectic manifold; Parametric surface; Maximum principle
Audience(s) for this book
For an expert adult audience, including professional development and academic research
