A note on starshaped sets in 2-dimensional manifolds without conjugate points

• Main Authors: Kilicman, Adem, Saleh, Wedad
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf; http://psasir.upm.edu.my/id/eprint/36210/; http://www.hindawi.com/journals/jfs/2014/675735/abs/

Let W n be C ∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that n=2 and S⊂W 2 is starshaped where ker S≠S. For every point x∈S∖ ker S, define A(x)={y:y lies on some geodesic segment inf S form x to a point of ker S}. There is a finite collection A o...