1 |
Y. D. Chai, A new lower bound for the integral of the (n-2)nd mean curvature over the boundary of a compact domain in , Differential Geom. Appl. 7 (1997), no. 1, 35-40.
DOI
|
2 |
Y. D. Chai and G. Kim, A Characterization of compact sets in and its Application to a geometric inequality, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 17 (2010), no. 4, 543-553.
|
3 |
S. S. Chern, Global differential geometry, MAA 27 (1989), 303-350.
|
4 |
H. Flanders, A proof of Minkowski's inequality for convex curves, Amer. Math. Monthly 75 (1968), 581-593.
DOI
|
5 |
A. Ros, Compact hypersurfaces with constant higher order mean curvatures, Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 447-453.
DOI
|
6 |
M. Gromov, Hyperbolic manifolds, group and actions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978), pp. 183-213, Ann. of Math. Stud., 97, Princeton Univ. Press, Princeton, N.J., 1981.
|
7 |
J. Milnor, Morse Theory, Annals of Mathematics Studies, No. 51 Princeton University Press, Princeton, N. J., 1963.
|
8 |
Polya and Szego, Isoperimetric inequalities in mathematical physics, Annals of Mathematics Studies, no. 27, Princeton University Press, Princeton, N. J., 1951.
|
9 |
L. A. Santalo, Integral Geometry and Geometric Probability, Addison-Wesley Publishing Co., 1976.
|
10 |
J. P. Sha, p-convex Riemannian manifolds, Invent. Math. 83 (1986), no. 3, 437-447.
DOI
|
11 |
F. A. Valentine, Convex Sets, Mcgraw-Hill Book Co., 1964.
|