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Year 2015, , 94 - 102, 15.05.2015
https://doi.org/10.36753/mathenot.421223

Abstract

References

  • [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

Year 2015, , 94 - 102, 15.05.2015
https://doi.org/10.36753/mathenot.421223

Abstract


References

  • [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.
There are 18 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ahmet Yıldız

Publication Date May 15, 2015
Submission Date January 1, 2014
Published in Issue Year 2015

Cite

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. May 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, no. 1 (May 2015): 94-102. https://doi.org/10.36753/mathenot.421223.
EndNote Yıldız A (May 1, 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, vol. 3, no. 1, pp. 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 (May 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, vol. 3, no. 1, 2015, pp. 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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