Invex sets and preinvex functions on Riemannian manifolds
β Scribed by A. Barani; M.R. Pouryayevali
- Book ID
- 108175625
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 156 KB
- Volume
- 328
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We give elements of a general theory of local two-point functions on Riemannian manifolds. Some classical and also recent results in Riemannian geometry are reproved in a unified form. Let (M,g) be a smooth Riemannian manifold of dimension n > 2. By a two-point function on M we shall mean a smooth
Notions of invexity of a function and of a set are generalized. The notion of an invex function with respect to Ξ· can be further extended with the aid of p-invex sets. Slight generalization of the notion of p-invex sets with respect to Ξ· leads to a new class of functions. A family of real functions