The resolvent expansion for the signature operator on a manifold with a conic singular stratum
Robert Seeley (1996)
Journées équations aux dérivées partielles
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Robert Seeley (1996)
Journées équations aux dérivées partielles
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Jochen Brüning (1989)
Journées équations aux dérivées partielles
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Gorm Salomonsen (1998)
Journées équations aux dérivées partielles
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I present an alternative way of computing the index of a Dirac operator on a manifold with boundary and a special family of pseudodifferential boundary conditions. The local version of this index theorem contains a number of divergence terms in the interior, which are higher order heat kernel invariants. I will present a way of associating boundary terms to those divergence terms, which are rather local of nature.
Elmar Schrohe (1996)
Journées équations aux dérivées partielles
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Yu. Safarov (1996)
Journées équations aux dérivées partielles
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Raffe Mazzeo (1999)
Journées équations aux dérivées partielles
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In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor . We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical...
Steven Zelditch (1996)
Annales de l'institut Fourier
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The Laplacian of a compact Riemannian manifold is called if its eigenvalue multiplicity function is of maximal growth among metrics of the same dimension and volume. Canonical spheres and CROSSes are MD, and one asks if they are the only examples. We show that a MD metric must be at least a Zoll metric with just one distinct eigenvalue in each cluster, and hence with all band invariants equal to zero. The principal band invariant is then calculated in terms of geodesic integrals...