본문 바로가기
KERD
논문KCI 등재

Transversal lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds

Shiv Sharma Shukla|Vipul Singh
대한수학회 (The Korean Mathematical Society)|2023.10|대한수학회논문집 (Communications of the KMS)|제38권 제4호|pp. 1191-1213|DOI 10.4134/CKMS.c220309

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Lightlike manifoldindefinite Sasakian manifoldradical transversal lightlike submersiontransversal lightlike submersion
주제분류수학

초록

In this paper, we introduce and study two new classes of lightlike submersions, called radical transversal and transversal lightlike submersions between an indefinite Sasakian manifold and a lightlike manifold. We give examples and investigate the geometry of distributions involved in the definitions of these lightlike submersions. We also study radical transversal and transversal lightlike submersions from an indefinite Sasakian manifold onto a lightlike manifold with totally contact umbilical fibers.

Abstract

In this paper, we introduce and study two new classes of lightlike submersions, called radical transversal and transversal lightlike submersions between an indefinite Sasakian manifold and a lightlike manifold. We give examples and investigate the geometry of distributions involved in the definitions of these lightlike submersions. We also study radical transversal and transversal lightlike submersions from an indefinite Sasakian manifold onto a lightlike manifold with totally contact umbilical fibers.

참고문헌 (25)

  1. A. Bejancu, "Lightlike submanifolds of semi-Riemannian manifolds", Acta Appl. Math, 38(2), pp.197~215 (1995)[DOI]
  2. D. Chinea, "Almost contact metric submersions", Rend. Circ. Mat. Palermo (2), 34(1), pp.89~104 (1985)[DOI]
  3. K. L. Duggal, "Lightlike submanifolds of semi-Riemannian manifolds and applications", Mathematics and its Applications, 364 (1996), Kluwer Acad. Publ.[DOI]
  4. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26(1), pp.49~68 (2003)[DOI]
  5. K. L. Duggal, "Lightlike submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, 2007, pp.57585~57605 (2007)[DOI]
  6. K. L. Duggal, "Differential geometry of lightlike submanifolds, Frontiers in Mathematics" (2010), Birkh¨auser Verlag
  7. M. Falcitelli, "Riemannian submersions and related topics" (2004), World Sci. Publishing, Inc
  8. A. Gray, "Pseudo-Riemannian almost product manifolds and submersions", J. Math. Mech, 16, pp.715~737 (1967)
  9. T. H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds", Indian J. Pure Appl. Math, 34(9), pp.1369~1380 (2003)
  10. R. Kaushal, "Lightlike submersions from totally umbilical semi-transversal lightlike submanifolds", Miskolc Math. Notes, 19(2), pp.953~968 (2018)
  11. R. Kaushal, "On the geometry of screen conformal submersions of semi-transversal lightlike submanifolds", Asian-Eur. J. Math, 14(8), pp.2150133~2150145 (2021)[DOI]
  12. R. Kaushal, "On geometry of pointwise slant lightlike submersions with totally umbilical fibers", Afr. Mat, 33(1), pp.22~33 (2022)[DOI]
  13. I. K¨upeli Erken, "Slant Riemannian submersions from Sasakian manifolds", Arab J. Math. Sci, 22(2), pp.250~264 (2016)[DOI]
  14. B. O’Neill, "The fundamental equations of a submersion", Michigan Math. J, 13, pp.459~469 (1966)
  15. B. O’Neill, "Semi-Riemannian geometry, Pure and Applied Mathematics, 103" (1983), Academic Press, Inc.
  16. R. Prasad, "Slant lightlike submersions from an indefinite nearly K¨ahler manifold into a lightlike manifold", J. Math. Comput. Sci, 8(2), pp.225~240 (2018)
  17. R. Sachdeva, "Slant Lightlike Submersions from an Indefinite Almost Hermitian Manifold into a Lightlike Manifold", Ukrainian Math. J, 68(7), pp.1097~1107 (2016)[DOI]
  18. B. Sahin, "Screen conformal submersions between lightlike manifolds and semi-Riemannian manifolds and their harmonicity", Int. J. Geom. Methods Mod. Phys, 4(6), pp.987~1003 (2007)[DOI]
  19. B. Sahin, "On a submersion between Reinhart lightlike manifolds and semi-Riemannian manifolds", Mediterr. J. Math, 5(3), pp.273~284 (2008)[DOI]
  20. B. Sahin, "Slant submersions from almost Hermitian manifolds", Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 54(1)통권 : 102, pp.93~105 (2011)
  21. B. Sahin, "Submersion from semi-Riemannian manifolds onto lightlike manifolds", Hacet. J. Math. Stat, 39(1), pp.41~53 (2010)
  22. S. S. Shukla, "Screen slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds", Lobachevskii J. Math, 43(3), pp.697~708 (2022)
  23. T. Takahashi, "Sasakian manifold with pseudo-Riemannian metric", Tohoku Math. J. (2), 21, pp.271~290 (1969)[DOI]
  24. Y. Wang, "Generalized transversal lightlike submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci, 2012, pp.361794~361810 (2012)[DOI]
  25. C. Yıldırım, "Transversal lightlike submanifolds of indefinite Sasakian manifolds", Turkish J. Math, 34(4), pp.561~583 (2010)

관련 논문AI추천

INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLD진대호영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제3호Half lightlike submanifolds of an indefinite trans-Sasakian manifoldDae Ho Jin대한수학회 · 대한수학회보2014 · 제51권 제4호Lightlike submanifolds of an indefinite Sasakian manifold with a non-metric θ-connection진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제4호

이 간행물의 다른 논문 (24건)

The dimension of the maximal spectrum of some ring extensionsRachida El Khalfaoui, Najib Mahdoupp. 983-992On graded $(m, n)$-closed submodulesRezvan Varmazyarpp. 993-999On graded $N$-irreducible ideals of commutative graded ringsNajib Mahdou, Anass Assarrarpp. 1001-1017Nonlinear maps preserving the mixed product $_*[X\diamond Y, Z]$ on $*$-algebrasRaof Ahmad Bhat, Abbas Hussain Shikeh, Mohammad Aslam Siddeequepp. 1019-1028Joint essential numerical spectrum and Jeribi essential numerical spectrum of linear operators in Banach spacesNedra Moalla, Bouthaina Abdelhedi, Wissal Boubakerpp. 1029-1044
원문 보기