Article, Ajoutée
le 22/02/2018 12:42
Let (M, g) be a smooth manifold M endowed with a metric g. A large class of
differential operators in differential geometry is intrinsically defined by means of
the dual metric g ∗ on the dual bundle T M ∗ of 1-forms on M. If the metric g
is (semi [...]
ATINDOGBE COMLAN CYRIAQUE [1],
TOSSA JOEL [3],
EZIN JEAN-PIERRE [2],
Article, Ajoutée
le 22/02/2018 13:10
We study and characterize a class of lightlike hypersurfaces in Lorentzian
manifolds of constant curvature, that satisfy Einstein equation. Integrability and characterization results are established. [...]
ATINDOGBE COMLAN CYRIAQUE [1],
EZIN JEAN-PIERRE [2],
TOSSA JOEL [3],
Article, Ajoutée
le 22/02/2018 13:17
This paper deals with results concerning the relative nullity
foliation of the screen distribution of a lightlike Einstein
hypersurface $M$ in the Lorentzian space $\mathbb{R}^{n+2}_{1}$
and gives a characterization theorem for t [...]
ATINDOGBE COMLAN CYRIAQUE [1],
EZIN JEAN-PIERRE [2],
TOSSA JOEL [3],
Article, Ajoutée
le 22/02/2018 13:21
Degenerate submanifolds of pseudo-Riemannian manifolds are
quite difficult to study because there is no preferred connection when the sub-
manifold is not totally geodesic. For the particular case of degenerate totally
umbilical hypersurfaces, we [...]
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY LIONEL [2],
Article, Ajoutée
le 22/02/2018 13:25
Recently, the concept of induced scalar curvature of lightlike
hypersurfaces is introduced, restricting on a special class of the latter.
This paper removes some of these constraints and constructs this scalar
quantity by an approach that is consi [...]
ATINDOGBE COMLAN CYRIAQUE [1],
Article, Ajoutée
le 22/02/2018 13:30
This paper introduces Gray-tensors on lightlike hypersurfaces M n+1
of signature (0, n), (n ≥ 1) and investigates on their basic properties in connec-
tion with their null geometry. In particular, we show that there is an interplay
between existen [...]
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY LIONEL [2],
TOSSA JOEL [3],
Article, Ajoutée
le 22/02/2018 13:33
We study pseudo-Jacobi operators associated to algebraic curvature maps on
lightlike hypersurfaces M and investigate conditions for an induced Riemann curvature
tensor to be an algebraic curvature map on M. Two examples are provided with
explicit [...]
ATINDOGBE COMLAN CYRIAQUE [1],
DUGGAL KRISHAN LAL [2],
Article, Ajoutée
le 22/02/2018 13:37
In this paper we construct and study a Blaschke type normalization on
the lightlike hypersurface immersions with 1-degenerate second fundamental
form. We discuss basic examples and establish fundamental equations for
this canonical transversal vec [...]
ATINDOGBE COMLAN CYRIAQUE [1],
Article, Ajoutée
le 22/02/2018 13:44
In a recent paper [C. Atindogbé, Scalar curvature on lightlike hypersurfaces, Appl. Sci.
11 (2009) 9–18], the present author considered the concept of extrinsic (induced) scalar
curvature on lightlike hypersurfaces. This scalar quantity has been st [...]
ATINDOGBE COMLAN CYRIAQUE [1],
Article, Ajoutée
le 22/02/2018 13:45
We give a sufficient condition for a lightlike isotropic submanifold M, of dimension n, which
is not totally geodesic in a semi-Riemannian manifold of constant curvature c and of dimension
n + p(n < p), to admit a reduction of codimension. We show [...]
ATINDOGBE COMLAN CYRIAQUE [1],