@article{TSG_2002-2003__21__9_0, author = {Davaux, H\'el\`ene}, title = {La $K$-aire selon {M.} {Gromov}}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {9--35}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {21}, year = {2002-2003}, mrnumber = {2052821}, zbl = {1067.53030}, language = {fr}, url = {http://www.numdam.org/item/TSG_2002-2003__21__9_0/} }
Davaux, Hélène. La $K$-aire selon M. Gromov. Séminaire de théorie spectrale et géométrie, Tome 21 (2002-2003), pp. 9-35. http://www.numdam.org/item/TSG_2002-2003__21__9_0/
[Bau91] An upper bound for the first eigenvalue of the Dirac oprator on compact spin manifold. Math. Z., 206-3 ( 1991), 409-422. | MR | Zbl
,[BK78] Curvature operators: pinching estimates and geometrie examples. Ann. Sci. École Norm. Sup. (4), 11-1 ( 1978), 71-92. | Numdam | MR | Zbl
et ,[BK81] Gromov's almost flat manifolds. Société Mathématique de France, Paris, 1981. | Numdam | Zbl
et ,[Dav02] K-aire et courbure scalaire des variétés riemanniennes. Thèse de l'Université Montpellier II, 2002.
,[GHL90] Riemannian geometry. Springer-Verlag, Berlin, second edition, 1990. | MR | Zbl
, et ,[GL80a] The classification of simply connected manifolds of positive, scalar curvature. Ann. of Math. (2), 11-3 ( 1980), 423-434. | MR | Zbl
et ,[GL80b] Spin and scalar curvature in the presence of a fundamental group, J.Ann. of Math. (2), 111-2 ( 1980), 209-230. | MR | Zbl
et ,[GL83] Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Inst. Hautes Études Sci. Publ. Math., 58 ( 1984), 83-196. | Numdam | MR | Zbl
et ,[Gro81 ] Structures métriques pour les variétés riemanniennes. CEDIC, Paris, 1981. | MR | Zbl
,[Gro96] Positive curvature, macroscopic dimension, spectral gaps and higher signatures, In Functional analysis on the eve of the 21 st century, Vol. II (New Brunswick, NJ, 1993), pages 1-213. Birkhäuser Boston, MA, 1996. | MR | Zbl
,[Hus94] Fibre bundies, Springer-Verlag, New York, third edition, 1994. | MR | Zbl
,[Kar77] Riemannian center of mass and mollifier smoothing. Comm. Pure Appl. Math., 30 5 ( 1977), 509-541 | MR | Zbl
,[LM89] Spin geometry, Princeton University Press, Princeton, NJ, 1989. | MR | Zbl
et ,[Ste57] The Topology of Fibre Bundles, Princeton University Press, Princeton, NJ, 1957. | MR | Zbl
,