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HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

진대호
한국수학교육학회|2014.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제21권 제1호|pp. 39-50

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참고문헌

키워드

half lightlike submanifoldscreen quasi-conformalsemi-symmetric non- metric connection
주제분류수학

초록

In this paper, we study screen quasi-conformal irrotational half lightlikesubmanifolds M of a semi-Riemannian space form fM(c) admitting a semi-symmetricnon-metric connection, whose structure vector field ³ is tangent to M. The mainresult is a classi¯cation theorem for such Einstein half lightlike submanifolds of aLorentzian space form admitting a semi-symmetric non-metric connection.

Abstract

In this paper, we study screen quasi-conformal irrotational half lightlikesubmanifolds M of a semi-Riemannian space form fM(c) admitting a semi-symmetricnon-metric connection, whose structure vector ¯eld ³ is tangent to M. The mainresult is a classi¯cation theorem for such Einstein half lightlike submanifolds of aLorentzian space form admitting a semi-symmetric non-metric connection.

참고문헌 (15)

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  7. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  8. Jin, D.H, "Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection", Journal of Inequalities and Applica-tions
  9. 진대호, "Two characterization theorems for irrotational lightlike geometry", 대한수학회논문집, 28(4), pp.809~818 (2013), 대한수학회
  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. 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
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  14. O'Neill, B, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
  15. Yasar, E, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102, pp.253~264 (2008)

관련 논문AI추천

NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS진대호대한수학회 · 대한수학회지2014 · 제51권 제2호A 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 connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES송대진, 진대호대한수학회 · 대한수학회보2012 · 제49권 제6호Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회보2013 · 제50권 제4호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTIONAhmet Yücesan, Erol Yaşar대한수학회 · 대한수학회보2010 · 제47권 제5호

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