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