A Note on Starshaped Sets in 2-Dimensional Manifolds without Conjugate Points

Let Wn be C∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that S⊂W2 is starshaped where kerS≠S. For every point x∈S∖kerS, define A(x)={y: y lies on some geodesic segment in S from x to a point of kerS}. There is a finite collection A of all maximal A...

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Bibliographic Details
Main Authors: Adem Kılıcman, Wedad Saleh
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/675735