11 citations · 24 across the 6 of their papers we have counts for
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math.DG1999
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…
solv-int1999
From Agmon-Kannai expansion to Korteweg-de Vries hierarchy
Iosif Polterovich
We present a new method for computation of the Korteweg-de Vries hierarchy via heat invariants of the 1-dimensional Schrodinger operator. As a result new explicit formulas for the…
math.DG1999
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…