scholarly journals Isospectral deformations of closed riemannian manifolds with different scalar curvature

1998 ◽  
Vol 48 (2) ◽  
pp. 593-607 ◽  
Author(s):  
Carolyn S. Gordon ◽  
Ruth Gornet ◽  
Dorothee Schueth ◽  
David L. Webb ◽  
Edward N. Wilson
Keyword(s):  
Scalar Curvature ◽  
Riemannian Manifolds

Sewing Riemannian Manifolds with Positive Scalar Curvature

2017 ◽  
Vol 28 (4) ◽  
pp. 3553-3602 ◽  
Author(s):  
J. Basilio ◽  
J. Dodziuk ◽  
C. Sormani
Keyword(s):  
Scalar Curvature ◽  
Riemannian Manifolds ◽  
Positive Scalar Curvature ◽  
Positive Scalar

Prescribing the Scalar Curvature Problem on Three and Four Manifolds

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
Hichem Chtioui
Keyword(s):  
Scalar Curvature ◽  
Riemannian Manifolds ◽  
Critical Points ◽  
New Class ◽  
Critical Points At Infinity ◽  
Four Manifolds ◽  
Curvature Problem

AbstractThis paper is devoted to the prescribed scalar curvature problem on 3 and 4- dimensional Riemannian manifolds. We give a new class of functionals which can be realized as scalar curvature. Our proof uses topological arguments and the tools of the theory of the critical points at infinity.

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