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  Sectional curvature of projective invariant metrics on a strictly convex domain

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by Takeshi Sasaki, Takeshi Yagi
http://kaikei.math.kobe-u.ac.jp/HOME/sasaki/ys.ps
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Abstract:

In the paper [S2] we defined two projectively invariant metrics on a convex domain. These metrics bear a strong resemblance to the so-called Blaschke metric that is realized as the affine metric on a hyperbolic affine hypersphere (refer to [C]); in fact, they coincide

Citations

3 The theory of convex homogeneous cones, Trans – Vinberg - 1963
2 Complete affine hyperspheres, Symposia Mathematica, 10 – Calabi - 1972
1 metrics of negative curvature, the Bergman metric near the boundary and the Kobayashi metric on smooth bounded pseudoconvex sets – Klembeck, Kahler - 1978
1 On the Green function of a complete Riemannian or Kahler manifolds with asymptotically negative constant curvature and applications – Sasaki - 1984