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Comptes Rendus Mathematique
Volumn 342, Issue 3, 2006, Pages 197-200
A curvature-dimension condition for metric measure spaces
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EID: 30544446587     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.11.008     Document Type: Article
Times cited : (21)
References (8)
  • 1
    • 0001119849 scopus 로고
    • Diffusions hypercontractives Séminaire de Probabilités XIX
    • Springer Berlin
    • D. Bakry M. Émery Diffusions hypercontractives Séminaire de Probabilités XIX in: Lecture Notes in Math. vol. 1123 1985 Springer Berlin pp. 177-206
    • (1985) Lecture Notes in Math. , vol.1123 , pp. 177-206
    • Bakry, D.1    Émery, M.2
  • 2
    • 0034666932 scopus 로고    scopus 로고
    • Some new results on eigenvectors via dimension, diameter and Ricci curvature
    • D. Bakry Z. Qian Some new results on eigenvectors via dimension, diameter and Ricci curvature Adv. in Math. 155 2000 98-153
    • (2000) Adv. in Math. , vol.155 , pp. 98-153
    • Bakry, D.1    Qian, Z.2
  • 3
    • 0035602628 scopus 로고    scopus 로고
    • A Riemannian interpolation inequality à la Borell, Brascamb and Lieb
    • D. Cordero-Erausquin R. McCann M. Schmuckenschläger A Riemannian interpolation inequality à la Borell, Brascamb and Lieb Invent. Math. 146 2001 219-257
    • (2001) Invent. Math. , vol.146 , pp. 219-257
    • Cordero-Erausquin, D.1    McCann, R.2    Schmuckenschläger, M.3
  • 4
    • 25444489600 scopus 로고    scopus 로고
    • Ricci curvature for metric-measure spaces via optimal transport
    • Preprint
    • J. Lott, C. Villani, Ricci curvature for metric-measure spaces via optimal transport, Preprint, 2004
    • (2004)
    • Lott, J.1    Villani, C.2
  • 5
    • 12944272538 scopus 로고    scopus 로고
    • Convex functionals of probability measures and nonlinear diffusions on manifolds
    • K.T. Sturm Convex functionals of probability measures and nonlinear diffusions on manifolds J. Math. Pures Appl. 84 2005 149-168
    • (2005) J. Math. Pures Appl. , vol.84 , pp. 149-168
    • Sturm, K.T.1
  • 6
    • 12944331887 scopus 로고    scopus 로고
    • Generalized Ricci bounds and convergence of metric measure spaces
    • K.T. Sturm Generalized Ricci bounds and convergence of metric measure spaces C. R. Acad. Sci. Paris, Ser. I 340 2005 235-238
    • (2005) C. R. Acad. Sci. Paris, Ser. I , vol.340 , pp. 235-238
    • Sturm, K.T.1
  • 7
    • 33750193237 scopus 로고    scopus 로고
    • On the geometry of metric measure spaces. I
    • in press
    • K.T. Sturm, On the geometry of metric measure spaces. I, Acta Math., in press
    • Acta Math.
    • Sturm, K.T.1
  • 8
    • 33750193237 scopus 로고    scopus 로고
    • On the geometry of metric measure spaces. II
    • in press
    • K.T. Sturm, On the geometry of metric measure spaces. II, Acta Math., in press
    • Acta Math.
    • Sturm, K.T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.