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Publications Influence

Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

- Rafe Mazzeo, R. Melrose
- Mathematics
- 1 December 1987

Abstract We give a detailed description of the Schwartz kernel of the resolvent of the Laplacian on a certain class of complete Riemannian manifolds with negative sectional curvature near infinity.… Expand

392 58

Refined asymptotics for constant scalar curvature metrics with isolated singularities

- Nick Korevaar, Rafe Mazzeo, F. Pacard, R. Schoen
- Mathematics
- 8 July 1998

Abstract. We consider the asymptotic behaviour of positive solutions u of the conformal scalar curvature equation, , in the neighbourhood of isolated singularities in the standard Euclidean ball.… Expand

144 23- PDF

Kahler-Einstein metrics with edge singularities

- T. Jeffres, Rafe Mazzeo, Yanir A. Rubinstein
- Mathematics
- 26 May 2011

This article considers the existence and regularity of Kahler-Einstein metrics on a compact Kahler manifold $M$ with edge singularities with cone angle $2\pi\beta$ along a smooth divisor $D$. We… Expand

154 21- PDF

The Hodge cohomology of a conformally compact metric

- Rafe Mazzeo
- Mathematics
- 1988

On etudie le Laplacien de Hogde agissant sur des k-formes differentielles pour une classe de varietes de Riemann completes a courbure sectionnelle negative proche de l'infini. Ces varietes ont des… Expand

196 21

PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS WITH FIBRED BOUNDARIES

- Rafe Mazzeo, R. Melrose
- Mathematics
- 18 December 1998

Let X be a compact manifold with boundary. Suppose that the boundary is fibred, : @X! Y, and let x2C 1 (X) be a boundary defining function. This data fixes the space of 'fibred cusp' vector fields,… Expand

148 19- PDF

A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis

- Rafe Mazzeo, F. Pacard
- Mathematics
- 10 October 1994

The aim of this paper is to prove the existence of weak solutions to the equation ∆u+u = 0 which are positive in a domain Ω ⊂ R , vanish at the boundary, and have prescribed isolated singularities.… Expand

113 17- PDF

Hodge cohomology of gravitational instantons

- Tamás Hausel, E. Hunsicker, Rafe Mazzeo
- Mathematics, Physics
- 19 July 2002

This article was published in the Duke Mathematical Journal [© Duke University Press] and is also available at: http://projecteuclid.org/euclid.dmj/1082665286

135 14- PDF

Constant scalar curvature metrics with isolated singularities

- Rafe Mazzeo, F. Pacard
- Mathematics
- 14 May 1996

We extend the results and methods of [6] to prove the existence of constant positive scalar curvature metrics g which are complete and conformal to the standard metric on S \ Λ, where Λ is a disjoint… Expand

111 13- PDF

Analytic surgery and the eta invariant

- Rafe Mazzeo, R. Melrose
- Mathematics
- 1995

AbstractLet (M, h) be an odd-dimensional compact spin manifold in whichH is an embedded hypersurface with quadratic defining functionx2∈C∞ (M). Let be the Dirac operator associated to the metric jhen… Expand

51 12

Unique Continuation at Infinity and Embedded Eigenvalues for Asymptotically Hyperbolic Manifolds

- Rafe Mazzeo
- Mathematics
- 1 February 1991

103 10

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