On a class of generalized quasi-Einstein manifolds.
On a Class of Generalized quasi-Einstein Manifolds with Applications to Relativity
Quasi Einstein manifold is a simple and natural generalization of Einstein manifold. The object of the present paper is to study some properties of generalized quasi Einstein manifolds. We also discuss with space-matter tensor and some properties related to it. Two non-trivial examples have been constructed to prove the existence of generalized quasi Einstein spacetimes.
On a class of graphs with perscribed mean curvature.
On a Class of Hermitian Manifolds.
On a class of minimal hypersurfaces in Rn.
On a class of polynomial Lagrangians
On a class of Ricci-recurrent manifolds.
On a class of tangential Cauchy-Riemann maps
On a classification of almost geodesic mappings of affine connection spaces
On a Computational Method for the Second Fundamental Tensor and its Application to Bifurcation Problems.
On a conjecture about the Gauss map of complete spacelike surfaces with constant mean curvature in the Lorentz-Minkowski space.
On a conjecture of G. Bol.
On a Conjectured Characterization of the Sphere.
On a connection with torsion zero
On a construction connecting Lie algebras with general algebras
On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth.
On a Curvature Tensor of Kähler Type in an Almost Hermitian and Almost Para-hermitian Manifold
On a distinguished class of infinite dimensional representations of
On a family of varieties not satisfying Stoka's measurability condition
On a fourth order equation in 3-D
In this article we study the positivity of the 4-th order Paneitz operator for closed 3-manifolds. We prove that the connected sum of two such 3-manifold retains the same positivity property. We also solve the analogue of the Yamabe equation for such a manifold.