Sommaire du Fascicule no. 1

Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds

Cheeger, Jeff ; Gromov, Mikhael

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p. 1-34

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On Carnot-Carathéodory metrics

Mitchell, John

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p. 35-45

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Ricci deformation of the metric on a Riemannian manifold

Huisken, Gerhard

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p. 47-62

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Asymptotic behavior of convex sets in the hyperbolic plane

Gallego, E. ; Reventós, A.

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p. 63-72

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A remark on extremal Kähler metrics

Levine, Marc

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p. 73-77

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Isoparametric submanifolds and their Coxeter groups

Terng, Chuu-Lian

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p. 79-107

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A complete embedded minimal surface in ${\bf R}\sp 3$ with genus one and three ends

Hoffman, David A. ; Meeks, III, William

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p. 109-127

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Band asymptotics on line bundles over $S\sp 2$

Guillemin, V. ; Uribe, A.

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p. 129-133

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Invariant polynomials of the automorphism group of a compact complex manifold

Futaki, Akito ; Morita, Shigeyuki

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p. 135-142

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The simple loop conjecture

Gabai, David

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p. 143-149

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