1.

Record Nr.

UNINA9910828265803321

Autore

Ji Min <1960->

Titolo

Minimal surfaces in Riemannian manifolds / / Min Ji, Guang Yin Wang

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1993

©1993

ISBN

1-4704-0072-3

Descrizione fisica

1 online resource (63 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 495

Disciplina

516.3/73

Soggetti

Minimal surfaces

Riemannian manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

July 1993, Volume 104, Number 495 (second of 6 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""