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- W3134310786 abstract "In this article, we investigate the geometry of a central extension $widehat{mathcal D}_{mu}(S^{2})$ of the group of volume-preserving diffeomorphisms of the 2-sphere equipped with the $L^{2}$-metric, whose geodesics correspond solutions of the incompressible Euler equation with Coriolis force. In particular, we calculate the Misiolek curvature of this group. This value is related to the existence of a conjugate point and its positivity directly implies the positivity of the sectional curvature." @default.
- W3134310786 created "2021-03-15" @default.
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- W3134310786 date "2021-02-27" @default.
- W3134310786 modified "2023-10-01" @default.
- W3134310786 title "Some positivity results of the curvature on the group corresponding to the incompressible Euler equation with Coriolis force" @default.
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