引用次数
引用: 154
H-指数: 7
I10-指数 : 6
出版物: 27
Almost Hermitian structures on tangent bundles
Hiroyasu Satoh
arXiv: Differential Geometry
12
2019
Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations
Mitsuhiro Itoh , Hiroyasu Satoh
Publications of The Research Institute for Mathematical Sciences 55 ( 3) 531 -564
1
2019
Horospheres and hyperbolicity of Hadamard manifolds
Mitsuhiro Itoh , Hiroyasu Satoh , Young Jin Suh
Differential Geometry and Its Applications 35 50 -68
4
2014
4-dimensional almost Kähler manifolds and L2-scalar curvature functional
Hiroyasu Satoh
Differential Geometry and its Applications 23 ( 2) 114 -127
3
2005
Fisher information geometry, Poisson kernel and asymptotical harmonicity
Mitsuhiro Itoh , Hiroyasu Satoh
Differential Geometry and its Applications 29 S107 -S115
5
2011
Harmonic manifolds of hypergeometric type and spherical Fourier transform
Mitsuhiro Itoh , Hiroyasu Satoh
arXiv: Differential Geometry
2020
Information geometry of Busemann-barycenter for probability measures
Mitsuhiro Itoh , Hiroyasu Satoh
International Journal of Mathematics 26 ( 6) 1541007
1
2015
Isolation of the Weyl conformal tensor for Einstein manifolds
Mitsuhiro Itoh , Hiroyasu Satoh
Proceedings of the Japan Academy, Series A, Mathematical Sciences 78 ( 7) 140 -142
28
2002
Information Geometry of Barycenter Map
Mitsuhiro Itoh , Hiroyasu Satoh
Springer Proceedings in Mathematics & Statistics 79 -88
2
2014
Compact Almost Kähler Manifolds with Divergence-Free Weyl Conformal Tensor
Hiroyasu Satoh
Annals of Global Analysis and Geometry 26 ( 2) 107 -116
5
2004
Geometry of Fisher Information Metric and the Barycenter Map
Mitsuhiro Itoh , Hiroyasu Satoh
Entropy 17 ( 4) 1814 -1849
8
2015
Hessian of Busemann functions and rank of Hadamard manifolds
Mitsuhiro Itoh , Sinwhi Kim , JeongHyeong Park , Hiroyasu Satoh
arXiv preprint arXiv:1702.03646
2
2017
Information geometry of the space of probability measures and barycenter maps
Mitsuhiro Itoh , Hiroyasu Satoh
arXiv preprint arXiv:2208.11861
4
2022
Fisher information geometry of the barycenter map
Mitsuhiro Itoh , Hiroyasu Satoh
AIP Conf. Proc 1641
3
2015
Fisher information geometry of Poisson kernels and heat kernels on Riemannian manifolds
Mitsuhiro Itoh , Hiroyasu Satoh
Proc. 12th International Workshop on Differential Geom., ed. YJ Suh et al., Korea 12 1 -20
3
2008
Geometric mean of probability measures and geodesics of Fisher information metric
Mitsuhiro Itoh , Hiroyasu Satoh
Mathematische Nachrichten 296 ( 5) 1901 -1927
2
2023
Hessian of the Busemann function on Damek-Ricci spaces
Hiroyasu Satoh
arXiv preprint arXiv:2110.08806
1
2021
Riemannian Distance and Diameter of the Space of Probability Measures and the Parametrix
Mitsuhiro Itoh , Hiroyasu Satoh
Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings 4 462 -471
1
2019
A note on the Fisher information metric and heat kernels
Mitsuhiro Itoh , Hiroyasu Satoh , Yuichi Shishido
Int. J. Pure Appl. Math 46 347 -353
1
2008
A note on the volume entropy on a harmonic manifold of hypergeometric type
Hiroyasu Satoh
arXiv preprint arXiv:2405.05896
2024