Kobayashi, Shimpei
- A characterization of the alpha-connections on the statistical manifold of normal distributions
2020/05/28 by Hitoshi Furuhata, Jun-ichi Inoguchı, Furuhata, Hitoshi +3 · 2 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Primary 53A15 #Secondary 22E25 #Topological and Geometric Data Analysis
- On a constant curvature statistical manifold
2020/08/31 by Shimpei Kobayashi, Yu Ohno, Kobayashi, Shimpei +1 · 2 citations
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Statistical Mechanics and Entropy
- A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions
2023/02/15 by Shimpei Kobayashi, Yu Ohno, Kobayashi, Shimpei +1 · 2 citations
Mathematics · Medicine · #Morphological variations and asymmetry #Clusterin in disease pathology #Advanced Statistical Methods and Models
- Ruh-Vilms Theorems For Minimal Surfaces Without Complex Points and Minimal Lagrangian Surfaces in \mathbb C P2
2019/09/07 by Josef F. Dorfmeister, Dorfmeister, Josef F., Shimpei Kobayashi +3 · 1 citation
Mathematics · #53B30 #58D10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Primary 53A10 #Secondary 53C42
- Half-dimensional immersions into the para-complex projective space and Ruh-Vilms type theorems
2024/05/20 by Josef F. Dorfmeister, Dorfmeister, Josef F., Roland Hildebrand +3 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows