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

Payel Karmakar

Displaying similar documents to “Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold”

A Frankel type theorem for CR submanifolds of Sasakian manifolds

Dario Di Pinto, Antonio Lotta (2023)

Archivum Mathematicum

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We prove a Frankel type theorem for $C R$ submanifolds of Sasakian manifolds, under suitable hypotheses on the index of the scalar Levi forms determined by normal directions. From this theorem we derive some topological information about $C R$ submanifolds of Sasakian space forms.

Submanifolds of an even-dimensional manifold structured by a $T$ -parallel connection.

Matsumoto, Koji, Mihai, Adela, Naitza, Dorotea (2003)

Lobachevskii Journal of Mathematics

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

Ximin Liu (2002)

Archivum Mathematicum

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Let $M^{n}$ be a Riemannian $n$ -manifold. Denote by $S (p)$ and $\bar{Ric} (p)$ the Ricci tensor and the maximum Ricci curvature on $M^{n}$ , respectively. In this paper we prove that every totally real submanifolds of a quaternion projective space $Q P^{m} (c)$ satisfies $S \leq ((n - 1) c + \frac{n^{2}}{4} H^{2}) g$ , where $H^{2}$ and $g$ are the square mean curvature function and metric tensor on $M^{n}$ , respectively. The equality holds identically if and only if either $M^{n}$ is totally geodesic submanifold or $n = 2$ and $M^{n}$ is totally umbilical submanifold. Also we show that if a Lagrangian submanifold...