scholarly journals Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an ()-type Connection

2020 ◽  
Vol 8 (3) ◽  
pp. 286-292
Author(s):  
Jae Won Lee ◽  
Dae Ho Jin ◽  
Chul Woo Lee
Keyword(s):  
Kaehler Manifold ◽  
Lightlike Hypersurfaces

scholarly journals Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

2019 ◽  
Vol 27 (1) ◽  
pp. 1-12
Author(s):  
Dae Ho Jin ◽  
Jae Won Lee
Keyword(s):  
Vector Field ◽  
Constant Curvature ◽  
Characteristic Vector ◽  
Kaehler Manifold ◽  
Totally Umbilical ◽  
Screen Distribution ◽  
Lightlike Hypersurface ◽  
Lightlike Hypersurfaces ◽  
Characteristic Vector Field

AbstractWe study lightlike hypersurfaces M of an indefinite Kaehler manifold M̅ of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M̅ is tangent to M. First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of M̅ such that(1) the screen distribution S(TM) is totally umbilical or(2) M is screen conformal.

scholarly journals Special lightlike hypersurfaces of indefinite Kaehler manifolds

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1919-1930 ◽  
Author(s):  
Dae Jin
Keyword(s):  
Complex Space ◽  
Space Form ◽  
Complex Space Form ◽  
Kaehler Manifold ◽  
Kaehler Manifolds ◽  
Almost Complex ◽  
Lightlike Hypersurfaces

In this paper, we define three types of lightlike hypersurfaces of an indefinite Kaehler manifold, which are called Hopf, recurrent and Lie recurrent lightlike hypersurfaces. After that we provide several new results on such three type lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite almost complex space form.

scholarly journals Concurrent Vector Fields on Lightlike Hypersurfaces

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 59
Author(s):  
Erol Kılıç ◽  
Mehmet Gülbahar ◽  
Ecem Kavuk
Keyword(s):  
Vector Fields ◽  
Ricci Soliton ◽  
Lorentzian Manifold ◽  
Totally Geodesic ◽  
Totally Umbilical ◽  
Lightlike Hypersurfaces

Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike hypersurfaces admitting concurrent vector fields are studied and some characterizations for this frame of hypersurfaces are obtained.

A note on derived connections from semi-symmetric metric connections

2017 ◽  
Vol 67 (1) ◽  
pp. 221-226
Author(s):  
Adela Mihai
Keyword(s):  
Open Problem ◽  
Complex Structure ◽  
Kaehler Manifold ◽  
Different Types ◽  
Metric Connection

Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find a parallel complex structure on a Kaehler manifold with respect to such a new connection.

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