Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2010, Cilt: 3 Sayı: 1, 35 - 39, 30.04.2010

Öz

Kaynakça

  • [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

Yıl 2010, Cilt: 3 Sayı: 1, 35 - 39, 30.04.2010

Öz


Kaynakça

  • [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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Siraj Uddin

Yayımlanma Tarihi 30 Nisan 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 3 Sayı: 1

Kaynak Göster

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. Nisan 2010;3(1):35-39.
Chicago Uddin, Siraj. “On Doubly Warped and Doubly Twisted Product Submanifolds”. International Electronic Journal of Geometry 3, sy. 1 (Nisan 2010): 35-39.
EndNote Uddin S (01 Nisan 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., c. 3, sy. 1, ss. 35–39, 2010.
ISNAD Uddin, Siraj. “On Doubly Warped and Doubly Twisted Product Submanifolds”. International Electronic Journal of Geometry 3/1 (Nisan 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, c. 3, sy. 1, 2010, ss. 35-39.
Vancouver Uddin S. On doubly warped and doubly twisted product submanifolds. Int. Electron. J. Geom. 2010;3(1):35-9.