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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer-Verlag

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DOI

10.1002/ajmg.a.37575

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1432-1807

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On the Perelman’s reduced entropy and Ricci flat m

Authors: Liang Cheng Anqiang Zhu
Publish Date: 2012/11/25
Volume: 356, Issue: 3, Pages: 1107-1116
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Abstract

In this paper we study the Ricci flat manifolds with maximal volume growth using Perelman’s reduced volume of Ricci flow We show that if Mng is an noncompact complete Ricci flat manifold with maximal volume growth satisfying Rmxrightarrow 0 as dx=d gxprightarrow infty then Mn has the quadratic curvature decay Some applications to this result are also presented

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  2. Fibred multilinks and singularities $${f \overline g}$$
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  8. Generic non-selfadjoint Zakharov–Shabat operators
  9. Strichartz estimates via the Schrödinger maximal operator
  10. Examples of relative deformation spaces that are not locally connected
  11. Polynomial approximation of Berkovich spaces and definable types
  12. Prographes sylvestres et groupes profinis presque libres
  13. Zone diagrams in Euclidean spaces and in other normed spaces
  14. A critical radius for unit Hopf vector fields on spheres
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  18. Relatively weakly open sets in closed balls of Banach spaces, and real JB * -triples of finite rank
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  21. Analytic torsion of Hirzebruch surfaces
  22. Déformations des cônes de vecteurs primitifs
  23. Radial entire solutions for supercritical biharmonic equations
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  25. On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
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  27. On CR Paneitz operators and CR pluriharmonic functions
  28. Absence of wandering domains for some real entire functions with bounded singular sets
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