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- W1475761036 abstract "We construct a new Riemannian metric on Goldman space $mathcal{B}(S)$, the space of the equivalence classes of convex projective structures on the surface $S$, and then prove the new metric, as well as the metric of Darvishzadeh and Goldman, restricts to be the Weil-Petersson metric on Teichm$ddot{u}$ller space, embedded as a submanifold of Goldman space $mathcal{B}(S)$. Moreover, Teichm$ddot{u}$ller space endowed with the Weil-Petersson metric then is totally geodesic in the Riemannian manifold $mathcal{B}(S)$." @default.
- W1475761036 created "2016-06-24" @default.
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- W1475761036 date "2013-01-08" @default.
- W1475761036 modified "2023-10-16" @default.
- W1475761036 title "Teichmuller Space Is Totally Geodesic In Goldman Space" @default.
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- W1475761036 doi "https://doi.org/10.48550/arxiv.1301.1442" @default.
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