The aim of this paper is to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity recently obtained by the authors. Applications are given to a number of geometrical problems in the setting of complete Riemannian manifolds, under assumptions either on the curvature or on the volume growth of geodesic balls.
- ISBN:
- 9780821836392
- 9780821836392
-
Category:
- Differential & Riemannian geometry
- Format:
- Paperback
- Publication Date:
-
30-01-2005
- Publisher:
- American Mathematical Society
- Country of origin:
- United States
- Pages:
- 99
- Weight:
- 0.23kg
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