One-dimensional exponential families with constant Hessian sectional curvature

Author:

Molitor MathieuORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications,Geometry and Topology,Statistics and Probability

Reference17 articles.

1. Amari, S.I., Nagaoka, H.: Methods of information geometry, Translations of Mathematical Monographs. American Mathematical Society, Providence, vol. 191. Oxford University Press, Oxford (2000)

2. Ay, N., Jost, J., Lê, H.V., Schwachhöfer, L.: Information geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 64. Springer, Cham (2017)

3. Ballmann, W.: Lectures on Kähler manifolds. ESI Lectures in Mathematics and Physics. European Mathematical Society (EMS), Zürich (2006)

4. Furuhata, H., Kurose, T.: Hessian manifolds of nonpositive constant Hessian sectional curvature. Tohoku Math. J. 65(1), 31–42 (2013)

5. Lim, L.H., Wong, K.S.W., Ye, K.: Numerical algorithms on the affine Grassmannian. SIAM J. Matrix Anal. Appl. 40(2), 371–393 (2019)

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