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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 46
  3. Calculus of Variations and Partial Differential Equations : Volume 46, Issue 1-2, January 2013
  4. Normalized Ricci flows and conformally compact Einstein metrics
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 46, Issue 3-4, March 2013
Calculus of Variations and Partial Differential Equations : Volume 46, Issue 1-2, January 2013
Construction of blow-up sequences for the prescribed scalar curvature equation on S n . II. Annular domains
On the moving frame of a conformal map from 2-disk into $${\mathbb{R}^n}$$
The long time behavior of fourth order curvature flows
L 3/2-estimates of vector fields with L 1 curl in a bounded domain
Liouville type theorems for integral equations and integral systems
On a class of singular elliptic problems with the perturbed Hardy–Sobolev operator
Radial solutions of Neumann problems involving mean extrinsic curvature and periodic nonlinearities
Non-compactness of the prescribed Q-curvature problem in large dimensions
On Calderón-Zygmund theory for p- and $${\mathcal{A}}$$ -superharmonic functions
Normalized Ricci flows and conformally compact Einstein metrics
Volume preserving curvature flows in Lorentzian manifolds
Nonsmooth analysis of doubly nonlinear evolution equations
On the HSL-flow
Weakly coupled nonlinear Schrödinger systems: the saturation effect
The optimal mass transport problem for relativistic costs
Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space
Limits as p → ∞ of p-laplacian eigenvalue problems perturbed with a concave or convex term
Scattering of wave maps from $${{\mathbb {R}^{2+1}}}$$ to general targets
Erratum to: Complete bounded null curves immersed in $${\mathbb{C}^3}$$ and $${{\rm SL}(2, \mathbb{C})}$$
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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Normalized Ricci flows and conformally compact Einstein metrics

Content Provider SpringerLink
Author Wu, Jie Shi, Yuguang Qing, Jie
Copyright Year 2011
Abstract In this paper, we investigate the behavior of the normalized Ricci flow on asymptotically hyperbolic manifolds. We show that the normalized Ricci flow exists globally and converges to an Einstein metric when starting from a non-degenerate and sufficiently Ricci pinched metric. More importantly we use maximum principles to establish the regularity of conformal compactness along the normalized Ricci flow including that of the limit metric at time infinity. Therefore we are able to recover the existence results in Graham and Lee (Adv Math 87:186–255, 1991), Lee (Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds, 2006), and Biquard (Surveys in Differential Geometry: Essays on Einstein Manifolds, 1999) of conformally compact Einstein metrics with conformal infinities which are perturbations of that of given non-degenerate conformally compact Einstein metrics.
Ending Page 211
Page Count 29
Starting Page 183
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 1-2
Volume Number 46
Language English
Publisher Springer-Verlag
Publisher Date 2011-11-24
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics Special Riemannian manifolds (Einstein, Sasakian, etc.) Elliptic equations on manifolds, general theory
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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