Research Article

PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS

Volume: 3 Number: 1 April 1, 2015
  • Süleyman Cengiz *
EN

PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS

Abstract

In this paper, some properties of lightlike hypersurfaces with parallel and semiparallel second fundamental forms are investigated in semi-Riemannian space forms. Then some generalizations of these conditions are performed.

Keywords

References

  1. [1] S. Akiba, Submanifolds with zat normal connection and parallel second fundamental tensor, Sci. Repts Yokohama Nat. Univ. Sec. I, 23 (1976), 7-14.
  2. [2] J. Deprez, Semi-parallel surfaces in Euclidean space, J. Geom., 25 (1985), 192-200.
  3. [3] J. Deprez, Semi-parallel hypersurfaces, Rend. Semin. Mat. Univ. Politec. Torino, 44 (1986), 303-316.
  4. [4] F. Dillen, The classi. . . cation of hypersurfaces of a Euclidean space with parallel higher order fundamental form, Math. Z., 203 (1990), 635-643.
  5. [5] F. Dillen, Hypersurfaces of a real space form with parallel higher order fundamental form, Soochow J. Math., 18 (1992), 321-338.
  6. [6] F. Dillen, Semi-parallel hypersurfaces of a real space form, Israel J. Math., 75 (1991), 193-202.
  7. [7] Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academics Publishers,1996.
  8. [8] Duggal, K.L. and Jin, D.H., A classi cation of Einstein lightlike hypersurfaces of a Lorentzian space form, J. Geom. Phys., 60 (2010), 1881-1889.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Süleyman Cengiz * This is me
Türkiye

Publication Date

April 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

APA
Cengiz, S. (2015). PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS. Konuralp Journal of Mathematics, 3(1), 95-102. https://izlik.org/JA43HC35AW
AMA
1.Cengiz S. PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS. Konuralp J. Math. 2015;3(1):95-102. https://izlik.org/JA43HC35AW
Chicago
Cengiz, Süleyman. 2015. “PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS”. Konuralp Journal of Mathematics 3 (1): 95-102. https://izlik.org/JA43HC35AW.
EndNote
Cengiz S (April 1, 2015) PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS. Konuralp Journal of Mathematics 3 1 95–102.
IEEE
[1]S. Cengiz, “PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS”, Konuralp J. Math., vol. 3, no. 1, pp. 95–102, Apr. 2015, [Online]. Available: https://izlik.org/JA43HC35AW
ISNAD
Cengiz, Süleyman. “PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 95-102. https://izlik.org/JA43HC35AW.
JAMA
1.Cengiz S. PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS. Konuralp J. Math. 2015;3:95–102.
MLA
Cengiz, Süleyman. “PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 95-102, https://izlik.org/JA43HC35AW.
Vancouver
1.Süleyman Cengiz. PARALLEL AND SEMIPARALLEL LIGHTLIKE HYPERSURFACES OF SEMI-RIEMANNIAN SPACE FORMS. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):95-102. Available from: https://izlik.org/JA43HC35AW
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