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Two characterization theorems for irrotational lightlike geometry

진대호
대한수학회 (The Korean Mathematical Society)|2013.10|대한수학회논문집 (Communications of the KMS)|제28권 제4호|pp. 809-818

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참고문헌

키워드

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

초록

We study irrotational half lightlike submanifolds M of a semi-Riemannian space form with a semi-symmetric non-metric connection such that its structure vector field is tangent to M. We prove two characterization theorems for such an irrotational half lightlike submanifold.

Abstract

We study irrotational half lightlike submanifolds M of a semi-Riemannian space form with a semi-symmetric non-metric connection such that its structure vector field is tangent to M. We prove two characterization theorems for such an irrotational half lightlike submanifold.

참고문헌 (17)

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  9. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  10. D. H. Jin, "Einstein half lightlike submanifolds of a Lorentzian space form with a semi- symmetric non-metric connection", Journal of Inequalities and Applications
  11. 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]
  12. Dae Ho Jin, "ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 20(1), pp.25~35 (2013), 한국수학교육학회
  13. 이재원, "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
  14. T. H. Kang, "Lightlike hypersurfaces of indefinite Sasakian manifolds", Indian J. Pure Appl. Math, 34(9), pp.1369~1380 (2003)
  15. D. N. Kupeli, "Singular Semi-Riemannian Geometry" (1996), Kluwer Academic
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  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

Singular Theorems for Lightlike Submanifolds in a Semi-Riemannian Space Form진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회보2013 · 제50권 제4호TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호

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