Immersions of Lorentzian submanifolds into R1m with pointwise 2-planar sections and on the circles and pseudo spheres in Lorentzian geometry

Authors : C. MURATHAN

Pages : 0-0

Doi:10.1501/Commua1_0000000473

View : 8 | Download : 9

Publication Date : 1994-01-01

Article Type : Research Paper

Abstract :We planned this paper into two main sections. In the first section, we gjve an analog for the Lorentzian case of some characterizations given in [2 ]. There is no difference between the characterizations in both cases of inunersions with insert ignore into journalissuearticles values(pointwise); 2-planar normal sections of Riemannian and Lorentzian manifolds into R™ and R,”*, respectively, but the ptoofs. In the second part of paper, we deal with the Tlıeorem. 3.2 given in [1 ] and show that there must be some extra hypothesis to get the characterizations given as Theorems 2.1 and 2.2 in the present paper.
Keywords : Lorentzian submanifolds, Lorentzian geometry, pointwise 2 planar sections