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- W4293770011 abstract "Let $M$ be a compact and connected smooth manifold endowed with a smooth action of a finite group $Gamma$, and let $f$ be a $Gamma$-invariant Morse function on $M$. We prove that the space of $Gamma$-invariant Riemannian metrics on $M$ contains a residual subset ${mathcal Met}_f$ with the following property. Let $gin{mathcal Met}_f$ and let $nabla^gf$ be the gradient vector field of $f$ with respect to $g$. For any diffeomorphism $phi$ of $M$ preserving $nabla^gf$ there exists some real number $t$ and some $gammainGamma$ such that for every $xin M$ we have $phi(x)=gamma,Phi_t^g(x)$, where $Phi_t^g$ is the time-$t$ flow of the vector field $nabla^gf$." @default.
- W4293770011 created "2022-08-31" @default.
- W4293770011 creator A5001498233 @default.
- W4293770011 date "2017-03-20" @default.
- W4293770011 modified "2023-09-28" @default.
- W4293770011 title "Automorphisms of generic gradient vector fields with prescribed finite symmetries" @default.
- W4293770011 doi "https://doi.org/10.48550/arxiv.1703.06837" @default.
- W4293770011 hasPublicationYear "2017" @default.
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