Journal•ISSN: 0001-8708
Advances in Mathematics
Elsevier BV
About: Advances in Mathematics is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Cohomology & Bounded function. It has an ISSN identifier of 0001-8708. Over the lifetime, 7770 publications have been published receiving 306816 citations.
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1,556 citations
TL;DR: In this paper, the author outlines what is known to the author about the Riemannian geometry of a Lie group which has been provided with a metric invariant under left translation.
1,403 citations
1,262 citations
TL;DR: In this article, the Lagrangian analogue of Lie-Poisson Hamiltonian systems is defined on semidirect product Lie algebras, and an abstract Kelvin-Noether theorem for these equations is derived.
1,145 citations
TL;DR: In this paper, three integrable hamiltonian systems connected with isospectral deformations are discussed, where wave solutions of a nonlinear partial differential equation have a strong stability behavior.
1,113 citations