A Riemannian almost paracomplex manifold is a 2n-dimensional Riemannian manifold (M,g), whose structural group O(2n,R) is reduced to the form O(n,R)×O(n,R). We define the scalar curvature π of this manifold and consider relationships between π and the scalar curvature s of the metric g and its conformal transformations
Piecewise constant curvature manifolds are discrete analogues of Riemannian manifolds in which edge ...
This article is a survey of recent results about scalar curvature and contractible open $3$-manifold...
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conforma...
Let (M,g) be a noncompact complete Riemannian manifold whose scalar curvature S(x) is positive for a...
AbstractIf P′ is a C∞ positive function on a compact riemannian manifold of dimension n ⩾ 3 and metr...
We give results of sufficient and "almost" necessary conditions of prescribed scalar curvature probl...
AbstractLet (V2,g) be a C∞ compact Riemannian manifold of negative constant scalar curvature of dime...
Abstract. In this paper, we establish an analytic foundation for a fully non-linear equation σ2 σ1 =...
Abstract. A curvature-type tensor invariant called para contact (pc) conformal curvature is defined ...
AbstractWe discuss conformal deformation and warped products on some open manifolds. We discuss how ...
A fundamental result in two-dimensional Riemannian geometry is the uniformization theorem, which ass...
AbstractConditions on the geometric structure of a complete Riemannian manifold are given to solve t...
A well-known open question in differential geometry is the question of whether a given compact Riema...
The Yamabe Problem asks when the conformal class of a compact, Riemannian manifold (M, g) contains a...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
Piecewise constant curvature manifolds are discrete analogues of Riemannian manifolds in which edge ...
This article is a survey of recent results about scalar curvature and contractible open $3$-manifold...
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conforma...
Let (M,g) be a noncompact complete Riemannian manifold whose scalar curvature S(x) is positive for a...
AbstractIf P′ is a C∞ positive function on a compact riemannian manifold of dimension n ⩾ 3 and metr...
We give results of sufficient and "almost" necessary conditions of prescribed scalar curvature probl...
AbstractLet (V2,g) be a C∞ compact Riemannian manifold of negative constant scalar curvature of dime...
Abstract. In this paper, we establish an analytic foundation for a fully non-linear equation σ2 σ1 =...
Abstract. A curvature-type tensor invariant called para contact (pc) conformal curvature is defined ...
AbstractWe discuss conformal deformation and warped products on some open manifolds. We discuss how ...
A fundamental result in two-dimensional Riemannian geometry is the uniformization theorem, which ass...
AbstractConditions on the geometric structure of a complete Riemannian manifold are given to solve t...
A well-known open question in differential geometry is the question of whether a given compact Riema...
The Yamabe Problem asks when the conformal class of a compact, Riemannian manifold (M, g) contains a...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
Piecewise constant curvature manifolds are discrete analogues of Riemannian manifolds in which edge ...
This article is a survey of recent results about scalar curvature and contractible open $3$-manifold...
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conforma...
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