GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD

Title & Authors
GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD
Jin, Dae-Ho;

Abstract
We study the geometry of lightlike hypersurfaces M of an inde nite cosymplectic manifold $\small{\bar{M}}$ such that either (1) the characterist vector field $\small{\zeta}$ of $\small{\bar{M}}$ belongs to the screen distribution S(TM) of M or (2) $\small{\zeta}$ belongs to the orthogonal complement $\small{S(TM)^{\perp}}$ of S(TM) in $\small{T\bar{M}}$.
Keywords
totally umbilical;screen conformal;tangential and ascreen light-like hypersurfaces;indefinite cosymplectic manifold;
Language
English
Cited by
1.
NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS,;

대한수학회논문집, 2013. vol.28. 2, pp.353-360
2.
ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD,;

한국수학교육학회지시리즈B:순수및응용수학, 2013. vol.20. 1, pp.25-35
3.
NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE COSYMPLECTIC MANIFOLD,;

한국수학교육학회지시리즈B:순수및응용수학, 2013. vol.20. 2, pp.89-101
4.
INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN LIGHTLIKE HYPERSURFACE,;

호남수학학술지, 2013. vol.35. 4, pp.657-666
5.
INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD,;

대한수학회보, 2014. vol.51. 6, pp.1711-1726
6.
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS,;

대한수학회논문집, 2015. vol.30. 1, pp.35-43
7.
Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface,;

Kyungpook mathematical journal, 2015. vol.55. 4, pp.1097-1104
1.
ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD, The Pure and Applied Mathematics, 2013, 20, 1, 25
2.
Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms, Journal of Applied Mathematics, 2015, 2015, 1
3.
INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD, Bulletin of the Korean Mathematical Society, 2014, 51, 6, 1711
4.
INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN LIGHTLIKE HYPERSURFACE, Honam Mathematical Journal, 2013, 35, 4, 657
5.
NON-EXISTENCE OF TOTALLY GEODESIC SCREEN DISTRIBUTIONS ON LIGHTLIKE HYPERSURFACES OF INDEFINITE KENMOTSU MANIFOLDS, Communications of the Korean Mathematical Society, 2013, 28, 2, 353
6.
NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE COSYMPLECTIC MANIFOLD, The Pure and Applied Mathematics, 2013, 20, 2, 89
7.
Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface, Kyungpook mathematical journal, 2015, 55, 4, 1097
8.
NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS, Communications of the Korean Mathematical Society, 2015, 30, 1, 35
9.
Special Half Lightlike Submanifolds of an Indefinite Cosymplectic Manifold, Journal of Function Spaces and Applications, 2012, 2012, 1
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