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Non-tangential half lightlike submanifolds of an indefinite cosymplectic manifold

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In this paper, we study the geometry of half lightlike submanifolds M of an indefinite cosymplectic manifold ̅M such that the structure vector field of ̅M is not tangent to M. First, we construct two types of such half lightlike submanifolds, named by transversal and normal half lightlike submanifolds. Next, we characterize the lightlike geometries of such two types of half lightlike submanifolds.

Abstract

In this paper, we study the geometry of half lightlike submanifolds M of an indefinite cosymplectic manifold ̅M such that the structure vector field of ̅M is not tangent to M. First, we construct two types of such half lightlike submanifolds, named by transversal and normal half lightlike submanifolds. Next, we characterize the lightlike geometries of such two types of half lightlike submanifolds.

참고문헌 (16)

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  5. Duggal, K.L., "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
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  9. Duggal, K.L., "Differential geometry of lightlike submanifolds. Frontiers in Mathematics" (2010), BirkhÄauser
  10. Dae Ho Jin, "TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(1), pp.51~61 (2011), 한국수학교육학회
  11. Dae Ho Jin, "HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD", 순수 및 응용수학, 18(2), pp.173~183 (2011), 한국수학교육학회
  12. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
  13. Jin, D.H, "Special half lightlike submanifolds of an indefinite cosymplectic manifold", J. Function Spaces and Appl, pp.1~16 (2012)
  14. Jin, D.H, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Mathematical Problems in Engineering, pp.1~16 (2011)
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  16. Kupeli, D.N, "Singular Semi-Riemannian Geometry. Mathematics and its Applications" (1996), Kluwer Acad. Publishers

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