Results 281 to 290 of about 13,851 (306)
Some of the next articles are maybe not open access.
1976
We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
openaire +1 more source
We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
openaire +1 more source
The Scalar Curvature on Totally Geodesic Fiberings
Annals of Global Analysis and Geometry, 2000A compact Riemannian manifold \(N\) with scalar curvature \(\kappa _n\) is said to satisfy a comparison theorem for the scalar curvature iff for any other compact Riemannian manifold \(M\) (\(\dim M = \dim N\)) the inequality \(\kappa _M(x)\leq\kappa _N(f(x))\) holds at some \(x\in M\) whenever \(f:M\to N\) is a vector contracting spin map of non-zero ...
openaire +2 more sources
Mathematische Annalen, 1999
The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
openaire +1 more source
The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
openaire +1 more source
1998
Let (M n , g) be a C ∞ Riemannian manifold of dimension n ≥ 2. Given f a smooth function on M n , the Problem is: Does there exist a metric g′ on M such that the scalar curvature R′ of g′ is equal to f ?
openaire +1 more source
Let (M n , g) be a C ∞ Riemannian manifold of dimension n ≥ 2. Given f a smooth function on M n , the Problem is: Does there exist a metric g′ on M such that the scalar curvature R′ of g′ is equal to f ?
openaire +1 more source
Infinitely many solutions for the prescribed scalar curvature problem onSN
Journal of Functional Analysis, 2010Juncheng Wei, Shusen Yan
exaly
Hypersurfaces with constant scalar curvature
Mathematische Annalen, 1977Shiu-Yuen Cheng, Shing-Tung Yau
exaly
Remarks on scalar curvature of Yamabe solitons
Annals of Global Analysis and Geometry, 2012Vicente Miquel, Miquel Vicente
exaly
Normal Scalar Curvature Conjecture and its applications
Journal of Functional Analysis, 2011Zhiqin Lu
exaly
The scalar curvature equation on
Nonlinear Analysis: Theory, Methods & Applications, 2001E.S. Noussair, Shusen Yan
openaire +1 more source