On Ricci curvature of totally real submanifolds in a quaternion projective space

Ximin Liu

Displaying similar documents to “On Ricci curvature of totally real submanifolds in a quaternion projective space”

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 $n$ -dimensional totally real minimal submanifold immersed in quaternion space form.

On minimal generic submanifolds immersed in $S^{2 m + 1}$

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 $M^{n}$ of all real space forms $N^{n + 2} (c)$ with $n \geq 2$ and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of $M^{n}$ , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of $M^{n}$ in $N^{m} (c)$ .

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 S 2 m + 1

Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold

A pointwise inequality in submanifold theory

On minimal generic submanifolds immersed in $S^{2 m + 1}$