Automorphisms of generic gradient vector fields with prescribed finite symmetries

  • Ignasi Mundet i Riera

    Universitat de Barcelona, Spain
Automorphisms of generic gradient vector fields with prescribed finite symmetries cover

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Abstract

Let be a compact and connected smooth manifold endowed with a smooth action of a finite group , and let be a -invariant Morse function on . We prove that the space of -invariant Riemannian metrics on contains a residual subset with the following property. Let and let be the gradient vector field of with respect to . For any diffeomorphism preserving there exists some and some such that for every we have , where is the time- flow of the vector field .

Cite this article

Ignasi Mundet i Riera, Automorphisms of generic gradient vector fields with prescribed finite symmetries. Rev. Mat. Iberoam. 35 (2019), no. 5, pp. 1281–1308

DOI 10.4171/RMI/1083