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

Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

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

Communications in Mathematics , Volume 27 (1): 12 – Jun 1, 2019

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Publisher
de Gruyter
Copyright
© 2019 Dae Ho Jin et al., published by Sciendo
eISSN
2336-1298
DOI
10.2478/cm-2019-0001
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Communications in Mathematicsde Gruyter

Published: Jun 1, 2019

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