Totally real submanifolds in a quaternion space form
Mehmet Bektaş (2004)
Czechoslovak Mathematical Journal
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In this paper, we prove a theorem for -dimensional totally real minimal submanifold immersed in quaternion space form.
Displaying similar documents to “On Ricci curvature of totally real submanifolds in a quaternion projective space”
Totally real submanifolds in a quaternion space form
On minimal generic submanifolds immersed in
Masahiro Kon (2001)
Colloquium Mathematicae
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We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold
Payel Karmakar (2024)
Mathematica Bohemica
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We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and...
A pointwise inequality in submanifold theory
P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)
Archivum Mathematicum
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We obtain a pointwise inequality valid for all submanifolds of all real space forms with and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of in .