Authors
Citation
Pf. Leung, ON THE TOPOLOGY OF A COMPACT SUBMANIFOLD OF A SPHERE WITH BOUNDED 2NDFUNDAMENTAL FORM, Manuscripta mathematica, 79(2), 1993, pp. 183-185
Citations number
2
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00252611
Volume
79
Issue
2
Year of publication
1993
Pages
183 - 185
Database
ISI
SICI code
0025-2611(1993)79:2<183:OTTOAC>2.0.ZU;2-1
Abstract
Let h be the second fundamental form of a compact submanifold of a uni
t sphere. We show that if \\h(u, u)\\2 < 1/3 holds for any unit tangen
t vector u at any point on the submanifold then it is a homotopy spher
e.