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Singular Theorems for Lightlike Submanifolds in a Semi-Riemannian Space Form

진대호
영남수학회 (Youngnam Mathematical Society)|2014.05|East Asian Mathematical Journal|제30권 제3호|pp. 371-383|DOI http://dx.doi.org/10.7858/eamj.2014.027

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참고문헌

키워드

irrotationalscreen quasi-conformalsemi-symmetric non-metric connectionlightlike submanifold
주제분류수학

초록

We study the geometry of lightlike submanifoldsof a semi-Riemannian manifold. The purpose of this paperis to prove two singular theorems for irrotational lightlike submanifolds$M$ of a semi-Riemannian space form $\bar{M}(c)$ admitting a semi-symmetricnon-metric connection such that the structure vector field of $\bar{M}(c)$is tangent to $M$.

Abstract

We study the geometry of lightlike submanifoldsof a semi-Riemannian manifold. The purpose of this paperis to prove two singular theorems for irrotational lightlike submanifolds$M$ of a semi-Riemannian space form $\bar{M}(c)$ admitting a semi-symmetricnon-metric connection such that the structure vector field of $\bar{M}(c)$is tangent to $M$.

참고문헌 (17)

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  9. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
  10. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  11. Jin, D.H., "Einstein half lightlike submanifolds of a Lorentzian space form with a semisymmetric non-metric connection", J. of Ineq. and Appl., 2013, pp.403~ (2013)
  12. 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]
  13. 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
  14. Kang, T.H., "Lightlike hypersurfaces of inde nite Sasakian manifolds", Indian J. Pure Appl. Math., 34, pp.1369~1380 (2003)
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  17. Yasar, E., "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102, pp.253~264 (2008)

관련 논문AI추천

Two characterization theorems for irrotational lightlike geometry진대호대한수학회 · 대한수학회논문집2013 · 제28권 제4호HALF 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 connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Einstein lightlike hypersurfaces of a Lorentzian space form with a semi-symmetric metric connection진대호대한수학회 · 대한수학회논문집2013 · 제28권 제1호On the Geometry of Lightlike Submanifolds강태호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회보2013 · 제50권 제4호

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