Slant submanifolds in cosymplectic manifolds

Ram Shankar Gupta; S. M. Khursheed Haider; A. Sharfuddin

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 2, page 207-219
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Ram Shankar Gupta, S. M. Khursheed Haider, and A. Sharfuddin. "Slant submanifolds in cosymplectic manifolds." Colloquium Mathematicae 105.2 (2006): 207-219. <http://eudml.org/doc/284243>.

@article{RamShankarGupta2006,
abstract = {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.},
author = {Ram Shankar Gupta, S. M. Khursheed Haider, A. Sharfuddin},
journal = {Colloquium Mathematicae},
keywords = {almost contact metric structure; cosymplectic manifold; slant submanifold; minimal submanifold},
language = {eng},
number = {2},
pages = {207-219},
title = {Slant submanifolds in cosymplectic manifolds},
url = {http://eudml.org/doc/284243},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Ram Shankar Gupta
AU - S. M. Khursheed Haider
AU - A. Sharfuddin
TI - Slant submanifolds in cosymplectic manifolds
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 207
EP - 219
AB - 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.
LA - eng
KW - almost contact metric structure; cosymplectic manifold; slant submanifold; minimal submanifold
UR - http://eudml.org/doc/284243
ER -

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