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TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE

진대호
영남수학회 (Youngnam Mathematical Society)|2016.01|East Asian Mathematical Journal|제32권 제1호|pp. 1-11|DOI http://dx.doi.org/10.7858/eamj.2016.001

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참고문헌

키워드

quasi-constant curvaturescreen homothetictransversal manifoldstaticaltotally umbilical screen
주제분류수학

초록

We study transversal half lightlike submanifolds of an indefiniteKaehler manifold of a quasi-constant curvature. First, we providea new result for such a transversal half lightlike submanifold. Next, weinvestigate a statical half lightlike submanifold M such that (1) the screendistribution S(TM) is totally umbilical, or (2) M is screen homothetic.

Abstract

We study transversal half lightlike submanifolds of an indefiniteKaehler manifold of a quasi-constant curvature. First, we providea new result for such a transversal half lightlike submanifold. Next, weinvestigate a statical half lightlike submanifold M such that (1) the screendistribution S(TM) is totally umbilical, or (2) M is screen homothetic.

참고문헌 (14)

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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 Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  4. K.L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ., 22, pp.121~161 (1999)
  5. K.L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  6. K.L. Duggal, "Differential geometry of lightlike submanifolds" (2010), Frontiers in Mathematics
  7. 진대호, "A CHARACTERIZATION OF SCREEN CONFORMAL HALF LIGHTLIKE SUBMANIFOLDS", 호남수학학술지, 31(1), pp.17~23 (2009), 호남수학회
  8. 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
  9. 진대호, "REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES", 순수 및 응용수학, 17(1), pp.51~63 (2010), 한국수학교육학회
  10. 진대호, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  11. 진대호, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  12. 진대호, "A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds", 대한수학회보, 50(3), pp.1041~1048 (2013), 대한수학회
  13. D.H. Jin, "Statical half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvature", Commun. Korean Math. Soc.
  14. D.N. Kupeli, "Singular Semi-Riemannian Geometry" (1996), Mathematics and Its Applications, Kluwer Acad. Publishers

관련 논문AI추천

Statical half lightlike submanifolds of an indefinite Kaehler manifold of a quasi-constant curvatureDae Ho Jin대한수학회 · 대한수학회논문집2016 · 제31권 제2호Lightlike Hypersurfaces of Indefinite Kaehler Manifolds of Quasi-Constant Curvatures진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제4호A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds진대호대한수학회 · 대한수학회보2013 · 제50권 제3호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS진대호대한수학회 · 대한수학회보2010 · 제47권 제4호

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