02652nam 2200565 450 991082826580332120170918221031.01-4704-0072-3(CKB)3360000000464679(EBL)3113987(SSID)ssj0000889068(PQKBManifestationID)11521341(PQKBTitleCode)TC0000889068(PQKBWorkID)10867071(PQKB)11546141(MiAaPQ)EBC3113987(RPAM)634288(PPN)195413784(EXLCZ)99336000000046467920140908h19931993 uy 0engur|n|---|||||txtccrMinimal surfaces in Riemannian manifolds /Min Ji, Guang Yin WangProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (63 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 495July 1993, Volume 104, Number 495 (second of 6 numbers)."0-8218-2560-7 Includes bibliographical references.""Contents""; ""Introduction""; ""0. Preliminaries""; ""0.1. Spaces of maps""; ""0.2. Pseudo-gradient vector field, pseudo-gradient flow and deformation lemma""; ""1. Compactness and regularity""; ""1.1. Some inequalities""; ""1.2. Compactness and regularity""; ""2. A priori estimates""; ""2.1. Statement of the estimate""; ""2.2. Variation with respect to the conform al group""; ""2.3. ""Blow up"" analysis""; ""2.3a. ""Blow up"" analysis in the interior""; ""2.3b. A uniqueness theorem""; ""2.3c. ""Blow up"" analysis near the boundary""; ""2.4. Establishing the main estimate""""3. Conformality and deformation lemmas for E""""3.1. Conformality""; ""3.2. Perturbation method""; ""4. Mountain-Pass-Solution""; ""5. A minimax principle""; ""5.1. A new index and its properties""; ""5.2. Continuity and stronger continuity""; ""5.3. Multiple solution theorem for minimal surfaces""; ""5.4. An application to S[sup(n)]""; ""References""Memoirs of the American Mathematical Society ;Number 495.Minimal surfacesRiemannian manifoldsMinimal surfaces.Riemannian manifolds.516.3/73Ji Min1960-1600027Wang Guang Yin1926-MiAaPQMiAaPQMiAaPQBOOK9910828265803321Minimal surfaces in Riemannian manifolds3922954UNINA