Non-existence of screen homothetic lightlike hypersurfaces of an indefinite Kenmotsu manifold

D. H. Jin
2015 Applied Mathematical Sciences  
We study screen homothetic lightlike hypersurfaces M of an indefinite Kenmotsu manifoldM with flat transversal connection. We prove that there do not exist screen homothetic lightlike hypersurfaces of indefinite Kenmotsu manifolds with flat transversal connection subject to the conditions: (1) M is locally symmetric, or (2) M is semi-symmetric. Mathematics Subject Classification: 53C25, 53C40, 53C50
doi:10.12988/ams.2015.4121001 fatcat:nedcergnxzhjdbjyzrsyjitmwq