Lightlike hypersurfaces in spaces with concircular fields
Keyword(s):
AbstractLightlike hypersurfaces in semi-Riemannian manifolds admitting concircular vector fields are investigated. We prove that such hypersurfaces are generally products of lightlike curves and warped product manifolds. In special cases, we show that these hypersurfaces are totally geodesic or totally screen geodesic provided such concircular fields belong to their normal or transversal bundles. A number of examples are furnished, where possible, to illustrate the main concepts.
Keyword(s):
2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽
2009 ◽
Vol 2009
◽
pp. 1-16
◽
1963 ◽
Vol 14
(4)
◽
pp. 653-653
◽
2008 ◽
Vol 29
(1-2)
◽
pp. 417-427
◽
1979 ◽
Vol 82
(3-4)
◽
pp. 233-240
◽
2000 ◽
Vol 15
(05)
◽
pp. 679-695
◽
Keyword(s):
Magnetic trajectories corresponding to Killing magnetic fields in a three-dimensional warped product
2020 ◽
Vol 17
(14)
◽
pp. 2050212
Keyword(s):