On the first eigenvalue of minimal submanifolds
نویسندگان
چکیده
منابع مشابه
First Eigenvalue of Submanifolds in Euclidean Space
We give some estimates of the first eigenvalue of the Laplacian for compact and non-compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely. Then some spherical theorems and a nonimmersibility theorem of Chern and Kuiper type can be obtained.
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1997
ISSN: 0386-5991
DOI: 10.2996/kmj/1138043747