A dynamical--topological obstruction for smooth isometric embeddings of Riemannian manifolds via incompressible Euler equations

Siran Li

Type: Preprint

Publication Date: 2020-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2006.15423

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Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Structure of the group of homeomorphisms preserving a good measure on a compact manifold	1980	Albert Fathi
+ PDF Chat	Generalized solutions for the Euler equations in one and two dimensions	2008	Marc Bernot Alessio Figalli Filippo Santambrogio
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold
+ PDF Chat	The diameter of the symplectomorphism group is infinite	1991	Yakov Eliashberg Tudor S. Raţiu
+ PDF Chat	The least action principle and the related concept of generalized flows for incompressible perfect fluids	1989	Yann Brenier
+	ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID	1987	Alexander Shnirelman
+	Fredholm properties of Riemannian exponential maps on diffeomorphism groups	2009	Gerard Misiołek Stephen C. Preston
+	Measure-Preserving Homeomorphisms and Metrical Transitivity	1941	John C. Oxtoby Stanislaw M. Ulam
+ PDF Chat	Stochastic least-action principle for the incompressible Navier–Stokes equation	2008	Gregory L. Eyink