scholarly journals The Zero Scalar Curvature Yamabe problem on noncompact manifolds with boundary

2006 ◽  
Vol 55 (4) ◽  
pp. 1449-1460 ◽  
Author(s):  
Fernando A Schwartz
Keyword(s):  
Scalar Curvature ◽  
Yamabe Problem ◽  
Manifolds With Boundary ◽  
Noncompact Manifolds ◽  
Zero Scalar Curvature

scholarly journals Compactness and non-compactness for the Yamabe problem on manifolds with boundary

2017 ◽  
Vol 2017 (724) ◽  
Author(s):  
Marcelo M. Disconzi ◽  
Marcus A. Khuri
Keyword(s):  
Scalar Curvature ◽  
Mean Curvature ◽  
Constant Scalar Curvature ◽  
Yamabe Problem ◽  
Riemannian Structure ◽  
Manifolds With Boundary ◽  
Conformal Deformation ◽  
Zero Mean Curvature

AbstractWe study the problem of conformal deformation of Riemannian structure to constant scalar curvature with zero mean curvature on the boundary. We prove compactness for the full set of solutions when the boundary is umbilic and the dimension

Two-ended hypersurfaces with zero scalar curvature

1999 ◽  
Vol 48 (3) ◽  
pp. 0-0 ◽  
Author(s):  
Jorge Hounie ◽  
Maria Luiza Leite
Keyword(s):  
Scalar Curvature ◽  
Zero Scalar Curvature

On the conformal scalar curvature equations on Finsler manifolds

2016 ◽  
Vol 14 (01) ◽  
pp. 1750008
Author(s):  
Neda Shojaee ◽  
Morteza MirMohammad Rezaii
Keyword(s):  
Scalar Curvature ◽  
Finsler Geometry ◽  
Yamabe Problem ◽  
Finsler Manifolds ◽  
Yamabe Flow ◽  
Conformal Deformations

In this paper, we study conformal deformations and [Formula: see text]-conformal deformations of Ricci-directional and second type scalar curvatures on Finsler manifolds. Then we introduce the best equation to study the Yamabe problem on Finsler manifolds. Finally, we restrict conformal deformations of metrics to [Formula: see text]-conformal deformations and derive the Yamabe functional and the Yamabe flow in Finsler geometry.

scholarly journals Linear Perturbation of the Yamabe Problem on Manifolds with Boundary

2017 ◽  
Vol 28 (2) ◽  
pp. 1315-1340 ◽  
Author(s):  
Marco Ghimenti ◽  
Anna Maria Micheletti ◽  
Angela Pistoia
Keyword(s):  
Linear Perturbation ◽  
Yamabe Problem ◽  
Manifolds With Boundary
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