본문 바로가기
KERD
논문KCI 등재

GCR-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD

Rakesh Kumar|Rakesh Kumar Nagaich|Sangeet Kumar
대한수학회 (The Korean Mathematical Society)|2014.05|대한수학회보 (Bulletin of the KMS)|제51권 제3호|pp. 883-899

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

CR-lightlike submanifoldsSCR-lightlike submanifoldsGCR- lightlike submanifoldssemi-Riemannian product manifoldminimal lightlike submanifolds
주제분류수학

초록

We introduce GCR-lightlike submanifold of a semi-Riemann- ian product manifold and give an example. We study geodesic GCR- lightlike submanifolds of a semi-Riemannian product manifold and obtain some necessary and sufficient conditions for a GCR-lightlike submanifold to be a GCR-lightlike product. Finally, we discuss minimal GCR-lightlike submanifolds of a semi-Riemannian product manifold.

Abstract

We introduce GCR-lightlike submanifold of a semi-Riemann- ian product manifold and give an example. We study geodesic GCR- lightlike submanifolds of a semi-Riemannian product manifold and obtain some necessary and sufficient conditions for a GCR-lightlike submanifold to be a GCR-lightlike product. Finally, we discuss minimal GCR-lightlike submanifolds of a semi-Riemannian product manifold.

참고문헌 (18)

  1. M. At¸ceken, "Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold", Kodai Math. J, 30(3), pp.361~378 (2007)
  2. C. L. Bejan, "Global lightlike manifolds and harmonicity", Kodai Math. J, 28(1), pp.131~145 (2005)
  3. K. L. Duggal, "CR-structures and Lorentzian geometry", Acta Appl. Math, 7(3), pp.211~223 (1986)
  4. K. L. Duggal, "Lorentzian geometry of CR submanifolds", Acta Appl. Math, 17(2), pp.171~193 (1989)
  5. K. L. Duggal, "Lightlike Submanifolds of semi-Riemannian Manifolds and Applications, Vol. 364 of Mathematics and its Applications" (1996), Kluwer Academic Pub-lishers
  6. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26(1), pp.49~68 (2003)
  7. K. L. Duggal, "Screen Cauchy-Riemann lightlike submanifolds", Acta Math. Hungar, 106(1-2), pp.137~165 (2005)
  8. K. L. Duggal, "Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds", Acta Math. Hungar, 112(1-2), pp.107~130 (2006)
  9. S. M. Khursheed Haider, "Screen Cauchy-Riemann lightlike submanifolds of a semi-Riemannian product manifold", Int. Electron. J. Geom, 4(2), pp.141~154 (2011)
  10. E. Kili¸c, "Screen semi invariant lightlike submanifolds of a semi-Riemannian product manifolds", Int. Electron. J. Geom, 4, pp.120~135 (2011)
  11. R. Kumar, "GCR-lightlike product of indefinite Kaehler manifolds", ISRN Geometry, 2011, pp.13~ (2011)
  12. Rakesh Kumar, "INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS", 대한수학회논문집, 27(3), pp.591~602 (2012), 대한수학회
  13. S. Kumar, "Characterization of holomorphic bisectional curvature of GCR-lightlike submanifolds", Advances in Mathematical Physics, 2012, pp.18~ (2012)
  14. Sangeet Kumar, "GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds", 대한수학회보, 50(4), pp.1173~1192 (2013), 대한수학회
  15. D. N. Kupeli, "Singular Semi-Riemannian Geometry, vol. 366" (1996), Kluwer
  16. B. O’Neill, "Semi-Riemannian Geometry with Applicitaions to Relativity" (1983), Academic Press
  17. B. S¸ahin, "Semi-Invariant submanifolds of Riemannian product mani-fold", Balkan J. Geom. Appl, 8(1), pp.91~100 (2003)
  18. X. Senlin, "Submanifolds of product Riemannian manifold", Acta Math. Sci. Ser. B Engl. Ed, 20(2), pp.213~218 (2000)

관련 논문AI추천

Generic lightlike submanifolds of semi-Riemannian product manifoldsJatinder Kaur, Megha Pruthi, Nand Kishor Jha, Sangeet Kumar대한수학회 · 대한수학회논문집2023 · 제38권 제3호CLASSIFICATION OF TWISTED PRODUCT LIGHTLIKE SUBMANIFOLDSMegha Pruthi, Sangeet Kumar대한수학회 · 대한수학회보2023 · 제60권 제4호GCR-lightlike submanifolds of indefinite nearly Kaehler manifoldsRakesh Kumar, R. K. Nagaich, Sangeet Kumar대한수학회 · 대한수학회보2013 · 제50권 제4호A NOTE ON GCR-LIGHTLIKE WARPED PRODUCT SUBMANIFOLDS IN INDEFINITE KAEHLER MANIFOLDSMegha Pruthi, Sangeet Kumar대한수학회 · 대한수학회논문집2021 · 제36권 제4호Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호

이 간행물의 다른 논문 (22건)

WHEN AN S-CLOSED SUBMODULE IS A DIRECT SUMMANDYongduo Wang, Dejun Wupp. 613-619Solutions of systems of variational inequalities on fixed points of nonexpansive mappingsHossein Piripp. 621-640Convex solutions of the polynomial-like iterative equation on open setXiaobing Gongpp. 641-651Results of certain local cohomology modulesAtiyeh Pour Eshmanan Talemi, Amir Mafipp. 653-657T-NEIGHBORHOODS IN VARIOUS CLASSES OF ANALYTIC FUNCTIONSAli Ebadian, Mahta Sayadiazar, Janusz Sokol, Saeid Shamspp. 659-666
원문 보기