11 citations · 13 across the 4 of their papers we have counts for
5 papers · 1 filter
Heat kernel asymptotics for Laplace type operators and matrix KdV hierarchy
Iosif Polterovich
We study the heat kernel asymptotics for the Laplace type differential operators on vector bundles over Riemannian manifolds. In particular this includes the case of the Laplacians…
Heat invariants of Riemannian manifolds
Iosif Polterovich
We calculate heat invariants of arbitrary Riemannian manifolds without boundary. Every heat invariant is expressed in terms of powers of the Laplacian and the distance function. Ou…
Explicit constructions of universal R-trees and asymptotic geometry of hyperbolic spaces
Anna Dyubina, Iosif Polterovich
We present some explicit constructions of universal R-trees with applications to the asymptotic geometry of hyperbolic spaces. In particular, we show that any asymptotic cone of a…
On the asymptotic geometry of the hyperbolic plane
Iosif Polterovich, Alexander Shnirelman
Asymptotic subcone of an unbounded metric space is another metric space, capturing the structure of the original space at infinity. In this paper we define a functional metric spac…
A commutator method for computation of heat invariants
Iosif Polterovich
We introduce a new method for computing the heat invariants of a 2-dimensional Riemannian manifold based on a result by S.Agmon and Y.Kannai. Two explicit expressions for the heat…