Pseudo-umbilical submanifolds of a space form $N^{n+p}(C)$
نویسندگان
چکیده
منابع مشابه
RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM
Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...
متن کاملUmbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms
We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity. Finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.A pseudo-Riemannian submanifold M in (a...
متن کاملumbilicity of (space-like) submanifolds of pseudo-riemannian space forms
we study umbilic (space-like) submanifolds of pseudo-riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo euclidean space and relate this notion to umbilicity. finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.a pseudo-riemannian submanifold m in (a ps...
متن کاملFinite Type Pseudo-umbilical Submanifolds in a Hypersphere
where Xo is a constant vector and AX,-t — XitX{t, t = 1, 2, . . . , k. If in particular all eigenvalues {Atl, . . . , A,t} are mutually different, then M is said to be of i-type. A Jfc-type submanifold is said to be null if one of the A;t, t — 1, 2, . . . , k, is null. It is easy to see that if M is compact, then Xo in (1.1) is exactly the centre of mass in E . A submanifold M of a hypersphere ...
متن کاملA Note on Totally Umbilical Pseudo-slant Submanifolds of a Nearly Kaehler Manifold
In this paper, we study pseudo-slant submanifolds of nearly Kaehler manifolds. A classification theorem on a totally umbilical pseudo-slant submanifold of a nearly Kaehler manifold is proved. 2000 Mathematics Subject Classification: 53C40, 53B25, 53C15.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1996
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496162975