%0 Journal Article
%T First eigenvalue of submanifolds in Euclidean space
%A Kairen Cai
%J International Journal of Mathematics and Mathematical Sciences
%D 2000
%I Hindawi Publishing Corporation
%R 10.1155/s0161171200003306
%X We give some estimates of the first eigenvalue of the Laplacianfor compact and non-compact submanifold immersed in the Euclidean space byusing the square length of the second fundamental form of the submanifoldmerely. Then some spherical theorems and a nonimmersibility theorem of Chernand Kuiper type can be obtained.
%U http://www.hindawi.com/journals/ijmms/2000/934136/abs/