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BibTex RIS Kaynak Göster

Yıl 2015, Cilt: 3 Sayı: 1, 94 - 102, 15.05.2015

Ahmet Yıldız

https://doi.org/10.36753/mathenot.421223

Öz

Kaynakça

  • [1] Alegre P. and Carriazo A., Structures on generalized Sasakian-space-forms, Differential Geom. Appl., 26(2008), 656-666.
  • [2] Blair, D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, (1976), 146p.
  • [3] Blair D.E., and Ogiue, K., Geometry of Integral submanifolds of a Contact Distribution, Illinois J.Math., 19(1975), 269-27.
  • [4] Boeckx, E., Kowalski, O. and Vanhecke, L., Riemannian Manifolds of Conullity Two, World Sc., Singapore, (1996).
  • [5] Chen, B.Y., Geometry of Submanifolds, Dekker, (1973).
  • [6] Chern, S.S., M.P.do Carmo and Kobayashi, S., Minimal submanifolds of sphere with second fundamental form of constant length, Functional Analysis and Related Fields, Springer- Verlag (1970), 59-75.
  • [7] Deprez, J., Semi-Parallel Surfaces in Euclidean space, J. Geom., 25(1985), 192-200.
  • [8] Deprez, J., Semi-Parallel Hypersurfaces, Rend. Sem. Mat. Univers. Politecn. Torino, 44(1986), 303-316.
  • [9] Dillen, F., Vrancken, L., C-totally Real Submanifolds of Sasakian Space Forms, J. Math. Pures et Appl., 69(1990), 85-93.
  • [10] Ferus, D., Immersions with parallel second fundamental form , Math. Z., 140(1974), 87-93.
  • [11] Kon, M., Remarks on Anti-invariant Submanifolds of a Sasakian Manifold, Tensor N.S., 30(1976), 239-246.
  • [12] Yamaguchi S., Ikawa T., On compact minimal C-totally real submanifolds, Tensor 29(1975), 30-34.
  • [13] Yano K., Kon M., Anti-invariant Submanifolds of a Sasakian Space Forms, Tohoku Math.J., 29(1976), 9-23.
  • [14] Yano K., Kon M., Anti-invariant Submanifolds, Marcel Dekker, New York, (1978).
  • [15] Yano K., Kon M., Structures on manifolds, World Scientific, (1984), 508p.
  • [16] Yamaguchi S., Kon M. and Miyahara Y., A theorem on C-totally real minimal surface, Proceedings of the American Math. Soc., 54(1976), 276-280.
  • [17] Yamaguchi S., Kon M. and Ikawa T., C-totally real submanifolds, J. Differential Geometry, 11(1976), 59-64.
  • [18] Yıldız A., Murathan C., Arslan K. and Ezentaş R., C-totally real pseudo parallel submanifolds of Sasakian space forms, Monatshefte f¨ur Mathematik, 151, no. 3, (2007), 247-256.

ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS

Yıl 2015, Cilt: 3 Sayı: 1, 94 - 102, 15.05.2015

Ahmet Yıldız

https://doi.org/10.36753/mathenot.421223

Öz


Anahtar Kelimeler

Sasakian manifolds semi-parallel submanifolds C-totally real submanifold second fundamental form

Kaynakça

  • [1] Alegre P. and Carriazo A., Structures on generalized Sasakian-space-forms, Differential Geom. Appl., 26(2008), 656-666.
  • [2] Blair, D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, (1976), 146p.
  • [3] Blair D.E., and Ogiue, K., Geometry of Integral submanifolds of a Contact Distribution, Illinois J.Math., 19(1975), 269-27.
  • [4] Boeckx, E., Kowalski, O. and Vanhecke, L., Riemannian Manifolds of Conullity Two, World Sc., Singapore, (1996).
  • [5] Chen, B.Y., Geometry of Submanifolds, Dekker, (1973).
  • [6] Chern, S.S., M.P.do Carmo and Kobayashi, S., Minimal submanifolds of sphere with second fundamental form of constant length, Functional Analysis and Related Fields, Springer- Verlag (1970), 59-75.
  • [7] Deprez, J., Semi-Parallel Surfaces in Euclidean space, J. Geom., 25(1985), 192-200.
  • [8] Deprez, J., Semi-Parallel Hypersurfaces, Rend. Sem. Mat. Univers. Politecn. Torino, 44(1986), 303-316.
  • [9] Dillen, F., Vrancken, L., C-totally Real Submanifolds of Sasakian Space Forms, J. Math. Pures et Appl., 69(1990), 85-93.
  • [10] Ferus, D., Immersions with parallel second fundamental form , Math. Z., 140(1974), 87-93.
  • [11] Kon, M., Remarks on Anti-invariant Submanifolds of a Sasakian Manifold, Tensor N.S., 30(1976), 239-246.
  • [12] Yamaguchi S., Ikawa T., On compact minimal C-totally real submanifolds, Tensor 29(1975), 30-34.
  • [13] Yano K., Kon M., Anti-invariant Submanifolds of a Sasakian Space Forms, Tohoku Math.J., 29(1976), 9-23.
  • [14] Yano K., Kon M., Anti-invariant Submanifolds, Marcel Dekker, New York, (1978).
  • [15] Yano K., Kon M., Structures on manifolds, World Scientific, (1984), 508p.
  • [16] Yamaguchi S., Kon M. and Miyahara Y., A theorem on C-totally real minimal surface, Proceedings of the American Math. Soc., 54(1976), 276-280.
  • [17] Yamaguchi S., Kon M. and Ikawa T., C-totally real submanifolds, J. Differential Geometry, 11(1976), 59-64.
  • [18] Yıldız A., Murathan C., Arslan K. and Ezentaş R., C-totally real pseudo parallel submanifolds of Sasakian space forms, Monatshefte f¨ur Mathematik, 151, no. 3, (2007), 247-256.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ahmet Yıldız

Yayımlanma Tarihi 15 Mayıs 2015
Gönderilme Tarihi 1 Ocak 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Yıldız, A. (2015). ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Mathematical Sciences and Applications E-Notes, 3(1), 94-102. https://doi.org/10.36753/mathenot.421223
AMA Yıldız A. ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Math. Sci. Appl. E-Notes. Mayıs 2015;3(1):94-102. doi:10.36753/mathenot.421223
Chicago Yıldız, Ahmet. “ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS”. Mathematical Sciences and Applications E-Notes 3, sy. 1 (Mayıs 2015): 94-102. https://doi.org/10.36753/mathenot.421223.
EndNote Yıldız A (01 Mayıs 2015) ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Mathematical Sciences and Applications E-Notes 3 1 94–102.
IEEE A. Yıldız, “ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS”, Math. Sci. Appl. E-Notes, c. 3, sy. 1, ss. 94–102, 2015, doi: 10.36753/mathenot.421223.
ISNAD Yıldız, Ahmet. “ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS”. Mathematical Sciences and Applications E-Notes 3/1 (Mayıs 2015), 94-102. https://doi.org/10.36753/mathenot.421223.
JAMA Yıldız A. ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Math. Sci. Appl. E-Notes. 2015;3:94–102.
MLA Yıldız, Ahmet. “ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS”. Mathematical Sciences and Applications E-Notes, c. 3, sy. 1, 2015, ss. 94-102, doi:10.36753/mathenot.421223.
Vancouver Yıldız A. ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Math. Sci. Appl. E-Notes. 2015;3(1):94-102.

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