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Year 2010, Volume: 3 Issue: 1, 35 - 39, 30.04.2010

Abstract

References

  • [1] Bishop, R.L. and O’Neill, B., Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
  • [2] Chen, B.Y., Twisted product CR-submanifolds in Kaehler manifolds, Tamsui Oxf. J. Math. Sci., 16 (2000), 105-121.
  • [3] Chen, B.Y., Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math., 133 (2001), 177-195.
  • [4] Chen, B.Y., Geometry of warped product CR-submanifolds in Kaehler manifolds II, Monatsh. Math., 134 (2001), 103-119.
  • [5] Fernandez, L.M., Garcia, R.E., Kupeli, D.N. and Unal, B., A curvature condition for a twisted product to be a warped product, Manuscripta Math., 106 (2001), 213-217.
  • [6] Gray, A., Nearly Kaehler manifolds, J. Diff. Geom., 4 (1970), 283-309.
  • [7] Khan, K.A. and Khan, V.A., Totally umbilical CR-submanifolds of a nearly Kaehler manifold, Geom. Dedicata, 50 (1994), 47-51.
  • [8] Khan, V.A., Khan, K.A. and Uddin S., Warped product CR-submanifolds of a nearly Kaehler manifold, SUT Math. J., 43 (2007), 201-213.
  • [9] Munteanu, M.I., Doubly warped products CR-submanifolds in locally conformal Kaehler manifolds, Monatsh. Math., 150 (2007), 333-342.
  • [10] Ponge R. and Reckziegel H., Twisted products in pseudo-Riemannian geometry, Geom. Ded- icata, 48 (1993), 15-25.
  • [11] Unal, B., Doubly warped products, PhD Thesis, University of Missouri-Columbia, 2000.
  • [12] Unal, B., Doubly warped products, Diff. Geom. Appl., 15 (2001), 253-263.
  • [13] Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, World Scientific Publishing co., Singapore, 1984.

On doubly warped and doubly twisted product submanifolds

Year 2010, Volume: 3 Issue: 1, 35 - 39, 30.04.2010

Abstract


References

  • [1] Bishop, R.L. and O’Neill, B., Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
  • [2] Chen, B.Y., Twisted product CR-submanifolds in Kaehler manifolds, Tamsui Oxf. J. Math. Sci., 16 (2000), 105-121.
  • [3] Chen, B.Y., Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math., 133 (2001), 177-195.
  • [4] Chen, B.Y., Geometry of warped product CR-submanifolds in Kaehler manifolds II, Monatsh. Math., 134 (2001), 103-119.
  • [5] Fernandez, L.M., Garcia, R.E., Kupeli, D.N. and Unal, B., A curvature condition for a twisted product to be a warped product, Manuscripta Math., 106 (2001), 213-217.
  • [6] Gray, A., Nearly Kaehler manifolds, J. Diff. Geom., 4 (1970), 283-309.
  • [7] Khan, K.A. and Khan, V.A., Totally umbilical CR-submanifolds of a nearly Kaehler manifold, Geom. Dedicata, 50 (1994), 47-51.
  • [8] Khan, V.A., Khan, K.A. and Uddin S., Warped product CR-submanifolds of a nearly Kaehler manifold, SUT Math. J., 43 (2007), 201-213.
  • [9] Munteanu, M.I., Doubly warped products CR-submanifolds in locally conformal Kaehler manifolds, Monatsh. Math., 150 (2007), 333-342.
  • [10] Ponge R. and Reckziegel H., Twisted products in pseudo-Riemannian geometry, Geom. Ded- icata, 48 (1993), 15-25.
  • [11] Unal, B., Doubly warped products, PhD Thesis, University of Missouri-Columbia, 2000.
  • [12] Unal, B., Doubly warped products, Diff. Geom. Appl., 15 (2001), 253-263.
  • [13] Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, World Scientific Publishing co., Singapore, 1984.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Siraj Uddin

Publication Date April 30, 2010
Published in Issue Year 2010 Volume: 3 Issue: 1

Cite

APA Uddin, S. (2010). On doubly warped and doubly twisted product submanifolds. International Electronic Journal of Geometry, 3(1), 35-39.
AMA Uddin S. On doubly warped and doubly twisted product submanifolds. Int. Electron. J. Geom. April 2010;3(1):35-39.
Chicago Uddin, Siraj. “On Doubly Warped and Doubly Twisted Product Submanifolds”. International Electronic Journal of Geometry 3, no. 1 (April 2010): 35-39.
EndNote Uddin S (April 1, 2010) On doubly warped and doubly twisted product submanifolds. International Electronic Journal of Geometry 3 1 35–39.
IEEE S. Uddin, “On doubly warped and doubly twisted product submanifolds”, Int. Electron. J. Geom., vol. 3, no. 1, pp. 35–39, 2010.
ISNAD Uddin, Siraj. “On Doubly Warped and Doubly Twisted Product Submanifolds”. International Electronic Journal of Geometry 3/1 (April 2010), 35-39.
JAMA Uddin S. On doubly warped and doubly twisted product submanifolds. Int. Electron. J. Geom. 2010;3:35–39.
MLA Uddin, Siraj. “On Doubly Warped and Doubly Twisted Product Submanifolds”. International Electronic Journal of Geometry, vol. 3, no. 1, 2010, pp. 35-39.
Vancouver Uddin S. On doubly warped and doubly twisted product submanifolds. Int. Electron. J. Geom. 2010;3(1):35-9.