TY  - JOUR
T1  - A note on starshaped sets in 2-dimensional manifolds without conjugate points
A1  - Kilicman, Adem
LA  - English
PB  - Hindawi Publishing Corporation
YR  - 2014
UL  - http://discoverylib.upm.edu.my/discovery/Record/oai:psasir.upm.edu.my:36210
AB  - 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 of all maximal A sets whose union is S. Further, ker S=∩{A:AinA}. 
ER  -