The Yamabe invariant

2021 ◽  
Vol 34 (1) ◽  
pp. 1-34
Author(s):  
Kazuo Akutagawa
Keyword(s):  
Yamabe Invariant

scholarly journals The Weyl functional near the Yamabe invariant

2003 ◽  
Vol 13 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Kazuo Akutagawa ◽  
Boris Botvinnik ◽  
Osamu Kobayashi ◽  
Harish Seshadri
Keyword(s):  
Yamabe Invariant

RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE

2013 ◽  
Vol 24 (03) ◽  
pp. 1350020 ◽  
Author(s):  
PAK TUNG HO
Keyword(s):  
Scalar Curvature ◽  
Smooth Function ◽  
The Other ◽  
Cr Manifold ◽  
Geometric Flow ◽  
Yamabe Invariant ◽  
Uniqueness Results ◽  
Other Hand

In this paper, we consider the problem of prescribing pseudo-Hermitian scalar curvature on a compact strictly pseudoconvex CR manifold M. Using geometric flow, we prove that for any negative smooth function f we can prescribe the pseudo-Hermitian scalar curvature to be f, provided that dim M = 3 and the CR Yamabe invariant of M is negative. On the other hand, we establish some uniqueness and non-uniqueness results on prescribing pseudo-Hermitian scalar curvature.

scholarly journals Computations of the orbifold Yamabe invariant

2011 ◽  
Vol 271 (3-4) ◽  
pp. 611-625 ◽  
Author(s):  
Kazuo Akutagawa
Keyword(s):  
Yamabe Invariant

scholarly journals The Yamabe Invariant for Non-Simply Connected Manifolds

2002 ◽  
Vol 62 (2) ◽  
pp. 175-208 ◽  
Author(s):  
Boris Botvinnik ◽  
Jonathan Rosenberg
Keyword(s):  
Yamabe Invariant ◽  
Simply Connected Manifolds ◽  
Simply Connected

scholarly journals T-STRUCTURE AND THE YAMABE INVARIANT

2012 ◽  
Vol 49 (2) ◽  
pp. 435-443
Author(s):  
Chan-Young Sung
Keyword(s):  
Yamabe Invariant

The $\boldsymbol{S^1}$-Equivariant Yamabe Invariant of 3-Manifolds

2016 ◽  
pp. rnw194
Author(s):  
Bernd Ammann ◽  
Farid Madani ◽  
Mihaela Pilca
Keyword(s):  
Yamabe Invariant
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