Submanifolds with a regular principal normal vector field in a sphere.
نویسندگان
چکیده
منابع مشابه
Willmore Submanifolds in a Sphere
Let x : M → Sn+p be an n-dimensional submanifold in an (n + p)dimensional unit sphere Sn+p, x : M → Sn+p is called a Willmore submanifold if it is an extremal submanifold to the following Willmore functional: ∫ M (S − nH) 2 dv, where S = ∑ α,i,j (hij) 2 is the square of the length of the second fundamental form, H is the mean curvature of M . In [13], author proved an integral inequality of Sim...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1970
ISSN: 0022-040X
DOI: 10.4310/jdg/1214429280