03054nam 2200565 450 991081189300332120170821171955.01-4704-0872-4(CKB)3360000000464630(EBL)3113856(SSID)ssj0000976575(PQKBManifestationID)11542580(PQKBTitleCode)TC0000976575(PQKBWorkID)11035283(PQKB)10424600(MiAaPQ)EBC3113856(RPAM)3904518(PPN)195413296(EXLCZ)99336000000046463020140904h19911991 uy 0engur|n|---|||||txtccrA sufficient criterion for a cone to be area-minimizing /Gary R. LawlorProvidence, Rhode Island :American Mathematical Society,1991.©19911 online resource (121 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 91, Number 446"May 1991, volume 91, number 446 (third of 4 numbers)."0-8218-2512-7 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 91, Number 446.Geometric measure theoryConeGeometric measure theory.Cone.515/.42Lawlor Gary R(Gary Reid),1961-1607413MiAaPQMiAaPQMiAaPQBOOK9910811893003321A sufficient criterion for a cone to be area-minimizing3933675UNINA