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Title: Dynamics, Spectral Geometry and Topology

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3559179· OSTI ID:21511467
 [1]
  1. Department of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus, OH 43210 (United States)

The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; the elements of dynamics of concern are the rest points, instantons and closed trajectories. One discusses their counting in the case of a generic vector field which has some additional properties satisfied by a still very large class of vector fields.

OSTI ID:
21511467
Journal Information:
AIP Conference Proceedings, Vol. 1329, Issue 1; Conference: Alexandru Myller mathematical seminar centennial conference, Iasi (Romania), 21-26 Jun 2010; Other Information: DOI: 10.1063/1.3559179; (c) 2011 American Institute of Physics; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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