On manifolds with non-negative Ricci curvature and Sobolev inequalities

Communications in Analysis and Geometry

Volumn 7, Issue 2, 1999, Pages 347-353

  Ledoux, M ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000553061     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1999.v7.n2.a7     Document Type: Article

References (11)

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4. Bakry and M. Ledoux, Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator, Duke Math. J. 85 (1996), 253-270.
5. E. Carlen, Superadditivity of Fisher's information and logarithmic Sobolev inequalities, J. Funct. Anal. 101 (1991), 194-211.
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7. I. Chavel, Riemannian geometry: a modern introduction, Cambridge Univ. Press, 1993.
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9. E. Hebey, Sobolev spaces on Riemannian manifolds, Lecture Notes in Math. 1635, Springer, 1996.
10. P. Li, Large time behavior of the heat equation on complete manifolds with non-negative Ricci curvature, Ann. Math. 124 (1986), 1-21.
11. G. Talenti, Best constants in Sobolev inequality, Ann. di Matem. Pura ed Appl. 110 (1976), 353-372.