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NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS

진대호
대한수학회 (The Korean Mathematical Society)|2014.03|대한수학회지 (Journal of the KMS)|제51권 제2호|pp. 311-323

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참고문헌

키워드

half lightlike submanifoldtotally geodesic screen distribution.
주제분류수학

초록

In this paper, we construct two types of non-tangential half lightlike submanifolds of a semi-Riemannian manifold admitting a semi- symmetric non-metric connection. Our main result is to prove several characterization theorems for each types of such half lightlike submani- folds equipped with totally geodesic screen distributions.

Abstract

In this paper, we construct two types of non-tangential half lightlike submanifolds of a semi-Riemannian manifold admitting a semi- symmetric non-metric connection. Our main result is to prove several characterization theorems for each types of such half lightlike submani- folds equipped with totally geodesic screen distributions.

참고문헌 (17)

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  2. G. de Rham, "Sur la reductibilite d'un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
  3. K. L. Duggal, "Lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 15, pp.59~82 (1992)
  4. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  6. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  7. K. L. Duggal, "Differential geometry of lightlike submanifolds, Frontiers in Mathematics", Birkhauser (2010)
  8. D. H. Jin, "Coistropic submanifolds of codimension 2", J. of Dongguk Univ, 19, pp.163~191 (2000)
  9. D. H. Jin, "Special half lightlike submanifolds of an indefinite cosymplectic manifold", Journal of Function Spaces and Applications, 2012, pp.16~ (2012)
  10. 진대호, "LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 순수 및 응용수학, 19(3), pp.211~228 (2012), 한국수학교육학회[DOI]
  11. D. H. Jin, "Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection", J. Inequal. Appl, 2013(403), pp.13~ (2013)
  12. 진대호, "Two characterization theorems for irrotational lightlike geometry", 대한수학회논문집, 28(4), pp.809~818 (2013), 대한수학회
  13. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  14. D. H. Jin, "Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection", submitted in Taiwanese J. of Math, ~
  15. D. H. Jin, "Ascreen lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection", accepted in Commun. Korean Math. Soc. 2013, ~ (2013)
  16. 진대호, "A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection", 대한수학회보, 50(3), pp.705~717 (2013), 대한수학회
  17. E. Yasar, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102(2), pp.253~264 (2008)

관련 논문AI추천

A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTIONAhmet Yücesan, Erol Yaşar대한수학회 · 대한수학회보2010 · 제47권 제5호Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회논문집2017 · 제32권 제1호

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