Invariant submanifolds and their second fundamental forms.

Endo, Hiroshi

Displaying similar documents to “Invariant submanifolds and their second fundamental forms.”

Slant submanifolds in cosymplectic manifolds

Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin (2006)

Colloquium Mathematicae

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We give some examples of slant submanifolds of cosymplectic manifolds. Also, we study some special slant submanifolds, called austere submanifolds, and establish a relation between minimal and anti-invariant submanifolds which is based on properties of the second fundamental form. Moreover, we give an example to illustrate our result.

Submanifolds of $F$ -structure manifold satisfying $F^{K} + {(-)}^{(K + 1)} F = 0$ .

Das, LoveJoy S. (2001)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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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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Contact CR-Submanifolds of Kenmotsu Manifolds

Atçeken, Mehmet (2011)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C15, 53C42. In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give...