-
1
-
-
0003223423
-
Lectures on Spaces of Nonpositive Curvature
-
Birkhäuser, Basel-Boston-Berlin
-
Ballmann W. Lectures on Spaces of Nonpositive Curvature. DMV-Seminar 1995, vol. 25. Birkhäuser, Basel-Boston-Berlin.
-
(1995)
DMV-Seminar
, vol.25
-
-
Ballmann, W.1
-
2
-
-
77951937798
-
-
The fundamental group, covering spaces and topology in biology, preprint
-
K. Bartoszek, J. Signerska, The fundamental group, covering spaces and topology in biology, preprint.
-
-
-
Bartoszek, K.1
Signerska, J.2
-
3
-
-
62049085614
-
Mass transportation and rough curvature bounds for discrete spaces
-
Bonciocat A., Sturm K.-T. Mass transportation and rough curvature bounds for discrete spaces. J. Funct. Anal. 2009, 256(9):2944-2966.
-
(2009)
J. Funct. Anal.
, vol.256
, Issue.9
, pp. 2944-2966
-
-
Bonciocat, A.1
Sturm, K.-T.2
-
4
-
-
0003365247
-
A Course in Metric Geometry
-
Amer. Math. Soc., Providence, RI
-
Burago D., Burago Y., Ivanov S. A Course in Metric Geometry. Grad. Stud. Math. 2001, vol. 33. Amer. Math. Soc., Providence, RI.
-
(2001)
Grad. Stud. Math.
, vol.33
-
-
Burago, D.1
Burago, Y.2
Ivanov, S.3
-
5
-
-
0035602628
-
A Riemannian interpolation à la Borell, Brascamp and Lieb
-
Cordero-Erausquin D., McCann R., Schmuckenschläger M. A Riemannian interpolation à la Borell, Brascamp and Lieb. Invent. Math. 2001, 146(2):219-257.
-
(2001)
Invent. Math.
, vol.146
, Issue.2
, pp. 219-257
-
-
Cordero-Erausquin, D.1
McCann, R.2
Schmuckenschläger, M.3
-
7
-
-
33847377614
-
Weak curvature conditions and functional inequalities
-
Lott J., Villani C. Weak curvature conditions and functional inequalities. J. Funct. Anal. 2007, 245(1):311-333.
-
(2007)
J. Funct. Anal.
, vol.245
, Issue.1
, pp. 311-333
-
-
Lott, J.1
Villani, C.2
-
8
-
-
62049083002
-
Ricci curvature for metric measure spaces via optimal transport
-
Lott J., Villani C. Ricci curvature for metric measure spaces via optimal transport. Ann. of Math. (2) 2009, 169(3):903-991.
-
(2009)
Ann. of Math. (2)
, vol.169
, Issue.3
, pp. 903-991
-
-
Lott, J.1
Villani, C.2
-
9
-
-
0034178899
-
Examples with bounded diameter growth and infinite topological type
-
Menguy X. Examples with bounded diameter growth and infinite topological type. Duke Math. J. 2000, 102(3):403-412.
-
(2000)
Duke Math. J.
, vol.102
, Issue.3
, pp. 403-412
-
-
Menguy, X.1
-
10
-
-
35649015387
-
On the measure contraction property of metric measure spaces
-
Ohta S. On the measure contraction property of metric measure spaces. Comment. Math. Helv. 2007, 82(4):805-828.
-
(2007)
Comment. Math. Helv.
, vol.82
, Issue.4
, pp. 805-828
-
-
Ohta, S.1
-
11
-
-
44649107710
-
Products, cones, and suspensions of spaces with the measure contraction property
-
Ohta S. Products, cones, and suspensions of spaces with the measure contraction property. J. Lond. Math. Soc. (2) 2007, 76(1):225-236.
-
(2007)
J. Lond. Math. Soc. (2)
, vol.76
, Issue.1
, pp. 225-236
-
-
Ohta, S.1
-
13
-
-
58149087855
-
Ricci curvature of Markov chains on metric spaces
-
Ollivier Y. Ricci curvature of Markov chains on metric spaces. J. Funct. Anal. 2009, 256(3):810-864.
-
(2009)
J. Funct. Anal.
, vol.256
, Issue.3
, pp. 810-864
-
-
Ollivier, Y.1
-
14
-
-
0001559554
-
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
-
Otto F., Villani C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J. Funct. Anal. 2000, 173(2):361-400.
-
(2000)
J. Funct. Anal.
, vol.173
, Issue.2
, pp. 361-400
-
-
Otto, F.1
Villani, C.2
-
15
-
-
77951937977
-
-
Alexandrov meets Lott-Villani-Sturm, preprint, 2009
-
A. Petrunin, Alexandrov meets Lott-Villani-Sturm, preprint, 2009.
-
-
-
Petrunin, A.1
-
16
-
-
1342288870
-
Universal covers for Hausdorff limits of noncompact spaces
-
Sormani C., Wei G. Universal covers for Hausdorff limits of noncompact spaces. Trans. Amer. Math. Soc. 2004, 356(3):1233-1270.
-
(2004)
Trans. Amer. Math. Soc.
, vol.356
, Issue.3
, pp. 1233-1270
-
-
Sormani, C.1
Wei, G.2
-
17
-
-
12944272538
-
Convex functionals of probability measures and nonlinear diffusions on manifolds
-
Sturm K.-T. Convex functionals of probability measures and nonlinear diffusions on manifolds. J. Math. Pures Appl. (9) 2005, 84(2):149-168.
-
(2005)
J. Math. Pures Appl. (9)
, vol.84
, Issue.2
, pp. 149-168
-
-
Sturm, K.-T.1
-
18
-
-
33750193237
-
On the geometry of metric measure spaces. I
-
Sturm K.-T. On the geometry of metric measure spaces. I. Acta Math. 2006, 196(1):65-131.
-
(2006)
Acta Math.
, vol.196
, Issue.1
, pp. 65-131
-
-
Sturm, K.-T.1
-
19
-
-
33750180350
-
On the geometry of metric measure spaces. II
-
Sturm K.-T. On the geometry of metric measure spaces. II. Acta Math. 2006, 196(1):133-177.
-
(2006)
Acta Math.
, vol.196
, Issue.1
, pp. 133-177
-
-
Sturm, K.-T.1
-
20
-
-
1542342359
-
Topics in Optimal Transportation
-
American Mathematical Society, Providence, RI
-
Villani C. Topics in Optimal Transportation. Grad. Stud. Math. 2003, vol. 58. American Mathematical Society, Providence, RI.
-
(2003)
Grad. Stud. Math.
, vol.58
-
-
Villani, C.1
-
21
-
-
59949100627
-
Optimal Transport, Old and New
-
Springer, Berlin-Heidelberg
-
Villani C. Optimal Transport, Old and New. Grundlehren Math. Wiss. 2009, vol. 338. Springer, Berlin-Heidelberg.
-
(2009)
Grundlehren Math. Wiss.
, vol.338
-
-
Villani, C.1
-
22
-
-
20744448674
-
Transport inequalities, gradient estimates, entropy, and Ricci curvature
-
von Renesse M.-K., Sturm K.-T. Transport inequalities, gradient estimates, entropy, and Ricci curvature. Comm. Pure Appl. Math. 2005, 58(7):923-940.
-
(2005)
Comm. Pure Appl. Math.
, vol.58
, Issue.7
, pp. 923-940
-
-
von Renesse, M.-K.1
Sturm, K.-T.2
|