ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS

Ahmet Yıldız

doi:10.36753/mathenot.421223

EN

ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS

Abstract

Keywords

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

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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ahmet Yıldız

Publication Date

May 15, 2015

Submission Date

January 1, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

DOI

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

IZ

https://izlik.org/JA24CY95JB

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

1.Yıldız A. ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Math. Sci. Appl. E-Notes. 2015;3(1):94-102. doi:10.36753/mathenot.421223

Chicago

Yıldız, Ahmet. 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.

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

[1]A. Yıldız, “ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 94–102, May 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 1, 2015): 94-102. https://doi.org/10.36753/mathenot.421223.

JAMA

1.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, May 2015, pp. 94-102, doi:10.36753/mathenot.421223.

Vancouver

1.Ahmet Yıldız. ON C-TOTALLY REAL SUBMANIFOLDS OF SASAKIAN SPACE FORMS. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):94-102. doi:10.36753/mathenot.421223