Abstract
The aim of this paper is to study the contact CR-warped product submanifolds in a cosymplectic space form and we obtain a necessary and sufficient condition for a contact CR-warped product submanifold to be a contact CR-product and give some new results.
Similar content being viewed by others
References
Chen B.Y.: Geometry of warped product CR-submanifolds in Kaehler manifold. Monatsh. Math. 133, 177–195 (2001)
Chen B.Y.: Geometry of warped product CR-submanifolds in Kaehler manifolds II. Monatsh. Math. 134, 103–119 (2001)
O’Neill B., Bishop R.L.: Manifolds of negative curvature. Trans. Am. Math. Soc. 145, 1–49 (1969)
Murathan C., Arslan K., Ezentas R., Mihai I.: Contact CR-warped product submanifolds in Kenmotsu space forms. J. Korean Math. Soc. 42, 1101–1110 (2005)
Yoon D.W.: Inequality for Ricci curvature of slant submanifolds in cosymplectic space forms. Turkish. J. Math. 30, 43–56 (2006)
Ludden G.D.: Submanifolds of cosympectic manifolds. J. Diff. Geom. 4, 237–244 (1970)
Hasegawa I., Mihai I.: Contact CR-warped product submanifolds in Sasakian manifolds. Geom. Dedicata 102, 143–150 (2003)
Khan K.A., Khan V.A., Uddin S.: Warped product submanifolds of cosymplectic manifolds. Balkan J. Geom. Appl. 13, 55–65 (2008)
Shoeb M., Shahid M.H., Sharfuddin A.: On submanifolds of a cosymplectic manifold. Soochow J. Math. 27, 161–174 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Atçeken, M. Contact CR-warped product submanifolds in cosymplectic space forms. Collect. Math. 62, 17–26 (2011). https://doi.org/10.1007/s13348-010-0002-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13348-010-0002-z