Geodesic
Entropy and a convergence theorem for Gauss curvature flow in high dimension
Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3735-3761.

Voir la notice de l'article provenant de la source EMS Press

We prove uniform regularity estimates for the normalized Gauss curvature flow in higher dimensions. The convergence of solutions in C∞-topology to a smooth strictly convex soliton as t goes to infinity is obtained as a consequence of these estimates together with an earlier result of Andrews. The estimates are established via the study of an entropy functional for convex bodies.
DOI : 10.4171/jems/752
Classification : 35-XX, 53-XX, 58-XX
Keywords: Gauss curvature flow, entropy, support functions, regularity, convergence 
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     author = {Pengfei Guan and Lei Ni},
     title = {Entropy and a convergence theorem for {Gauss} curvature flow in high dimension},
     journal = {Journal of the European Mathematical Society},
     pages = {3735--3761},
     publisher = {mathdoc},
     volume = {19},
     number = {12},
     year = {2017},
     doi = {10.4171/jems/752},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/752/}
}
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Pengfei Guan; Lei Ni. Entropy and a convergence theorem for Gauss curvature flow in high dimension. Journal of the European Mathematical Society, Tome 19 (2017) no. 12, pp. 3735-3761. doi : 10.4171/jems/752. http://geodesic.mathdoc.fr/articles/10.4171/jems/752/

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