Shin-ichi Ohta

Mathematics · Physical Sciences

6h-index163citations8works0.02yr avg
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Research Topics

Geometric Analysis and Curvature Flows(6), Geometry and complex manifolds(3), Advanced Differential Geometry Research(3), Nonlinear Partial Differential Equations(2), Geometric and Algebraic Topology(1)

Publications9 total

Concavity of spacetimes
Proceedings of the Royal Society of Edinburgh Section A Mathematics·2026Open Access
Analysis on asymmetric metric measure spaces: $q$-heat flow, $q$-Laplacian and Sobolev spaces
arXiv (Cornell University)·2025Open Access
A generalization of Grünbaum's inequality in RCD$(0,N)$-spaces
arXiv (Cornell University)·2024Open Access
Equality in the logarithmic Sobolev inequality
manuscripta mathematica·2019· 17 cited
Caffarelli–Kohn–Nirenberg inequality on metric measure spaces with applications
Mathematische Annalen·2013· 31 cited
Displacement convexity of generalized relative entropies. II
Communications in Analysis and Geometry·2013· 27 citedOpen Access
Displacement convexity of generalized relative entropies
Advances in Mathematics·2011· 51 cited
First Variation Formula in Wasserstein Spaces over Compact Alexandrov Spaces
Canadian Mathematical Bulletin·2011· 21 citedOpen Access
Topology of Complete Manifolds with Radial Curvature Bounded from Below
Geometric and Functional Analysis·2007· 16 cited

Frequent Co-authors

Asuka Takatsu(3), Alexandru Kristály(2), Nicola Gigli(1), Kei Kondo(1), Tobias Beran(1), Darius Erös(1), Felix Rott(1), Victor-Emmanuel Brunel(1), Jordan Serres(1), Wei Zhao(1)