SUFFICIENT CONDITIONS FOR ONE DOMAIN TO CONTAIN ANOTHER IN A SPACE OFCONSTANT CURVATURE

Authors
ZHOU JZ
Citation
Jz. Zhou, SUFFICIENT CONDITIONS FOR ONE DOMAIN TO CONTAIN ANOTHER IN A SPACE OFCONSTANT CURVATURE, Proceedings of the American Mathematical Society, 126(9), 1998, pp. 2797-2803
Citations number
19
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
9
Year of publication
1998
Pages
2797 - 2803
Database
ISI
SICI code
0002-9939(1998)126:9<2797:SCFODT>2.0.ZU;2-#
Abstract
As an application of the analogue of C-S. Chen's kinematic formula in the 3-dimensional space of constant curvature epsilon, that is, Euclid ean space R-3, 3-sphere S-3, hyperbolic space H-3 (epsilon = 0, +1, -1 , respectively), we obtain sufficient conditions for one domain to con tain another domain in either an Euclidean space R-3, or a 3-sphere S- 3 or a hyperbolic space H-3.