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Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces

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arxiv 1703.08040 v2 pith:5LWCPRTF submitted 2017-03-23 math-ph math.MP

Nguyen Viet Dang (ICJ) , Gabriel Riviere (LPP) This is my paper · ORCID
classification math-phmath.MP
keywords anisotropicdiscreteflowsmorse-smalespacesspectrumactinganalysis
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We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete spectrum.

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Cited by 2 Pith papers

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  1. Milnor metric for Morse--Smale flows from field theory

    math-ph 2026-07 accept novelty 6.0 of 10

    The axial-gauge partition function of Abelian BF theory recovers the Milnor metric, realizing Fried’s conjecture for Morse–Smale flows via two-step BV pushforward.

  2. The Fried Conjecture for Morse-Smale Flows: A Survey on Ray-Singer and Milnor Metrics

    math.DG 2026-07 conditional novelty 1.0 of 10

    A survey of the Morse-Smale Fried conjecture: it assembles the twisted Hodge, Thom-Smale, and Ruelle-zeta machinery and states the Ray-Singer = Milnor metric equality, attributing the proof to [SY21].

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