ON D-STARSHAPED SETS

H. K. El-Sayied (Egypt)

Received October 21, 2007

References:

[1] M. Beltagy and A. El-Araby, Starshaped sets in Riemannian manifolds without conjugate points, Far East J. Math. Sci. (FJMS) 6 (2002), 187-196. [2] M. Breen, A characterization theorem for compact unions of two starshaped sets in Pacific J. Math. 128 (1987), 63-72. [3] H. K. El-Sayied, D-convex bodies and focal points, Bull. Calcutta Math. Soc. 91 (1999), 449-454. [4] Q. Jin and Y. Li, Starshaped compact hypersurfaces with prescribed k-th mean curvature in hyperbolic space, Discrete Contin. Dyn. Syst. 15 (2006), 367-377. [5] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. II, Interscience Publishers, New York, 1969. [6] C. L. Pripoae and G. T. Pripoae, Generalized invexity and differentiable manifold, Balkan J. Geom. Appl. 10 (2005), 155-164. [7] M. A. Rodriguez and F. A. Toranzos, Structure of closed finitely starshaped sets, Proc. Amer. Math. Soc. 128 (2000), 1433-1441.

Keywords and phrases: conjugate points, minimal geodesic, D-convex sets, starshaped sets, supporting, locally supporting.