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Record Nr. |
UNINA9910811893003321 |
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Autore |
Lawlor Gary R (Gary Reid), <1961-> |
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Titolo |
A sufficient criterion for a cone to be area-minimizing / / Gary R. Lawlor |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1991 |
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©1991 |
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ISBN |
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Descrizione fisica |
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1 online resource (121 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 91, Number 446 |
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Disciplina |
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Soggetti |
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Geometric measure theory |
Cone |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"May 1991, volume 91, number 446 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Table of Contents""; ""Abstract""; ""Acknowledgements""; ""Introduction""; ""Chapter 1: A Minimization Test for Cones""; ""1.1 The retraction II""; ""1.2 The curvature criterion""; ""1.3 Simplifications""; ""1.4 Table of vanishing angles""; ""Chapter 2: Calibrations""; ""2.1 Preliminary definitions""; ""2.2 Zero curvature""; ""2.3 Nonzero curvature""; ""2.4 Relationships between Chapter 1 and Chapter 2""; ""Chapter 3: The Differential Equation""; ""3.1 Overview""; ""3.2 Zero curvature""; ""3.3 General curvature""; ""3.4 Numerical analysis of the differential equation"" |
""Chapter 4: Cones for Which the Criterion is Necessary as Well as Sufficient""""4.1 Introduction""; ""4.2 General setup""; ""4.3 Codimension 1""; ""4.4 Higher codimension""; ""Chapter 5: Examples of Area-minimizing Cones""; ""5.1 Cones over products of spheres""; ""5.2 Cones over unorientable manifolds""; ""5.3 Unions of planes""; ""5.4 Cones over compact matrix groups""; ""5.5 Codimension 1 cones over orbits of group actions""; ""Chapter 6: Some Perturbation Results""; ""6.1 The strict curvature criterion""; ""6.2 Calibration of a nearby minimal graph"" |
""6.3 Minimal surfaces in a neighborhood of a singularity""""6.4 A persistent singularity in a minimizing surface""; ""Chapter 7: Open Questions""; ""Appendix""; ""References"" |
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