Zobrazeno 1 - 10
of 421
pro vyhledávání: '"Hessian manifolds"'
Autor:
Hultgren, Jakob
This is an expository paper describing how duality theory for Hessian manifolds provides a natural setting for optimal transport. We explain how this can be used to solve Monge-Amp\`ere equations and survey recent results along these lines with appli
Externí odkaz:
http://arxiv.org/abs/2306.11819
Akademický článek
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Autor:
Guedj, Vincent, Tô, Tat Dat
We consider degenerate Monge-Amp\`ere equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and global comparison principles for twisted Monge-Amp\`ere operators. We
Externí odkaz:
http://arxiv.org/abs/2106.14740
Akademický článek
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Autor:
Mihai, Ion1 (AUTHOR) imihai@fmi.unibuc.ro, Mihai, Radu-Ioan1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Sep2022, Vol. 10 Issue 17, p3061. 9p.
Autor:
Osipov, Pavel
A selfsimiar manifold is a Riemannian manifold $\left(M,g\right)$ endowed with a homothetic vector field $\xi$. We characterize global selfsimilar manifolds and describe the structure of local selfsimilar manifolds. We prove that any selfsimilar mani
Externí odkaz:
http://arxiv.org/abs/1908.01731
A contravariant pseudo-Hessian manifold is a manifold $M$ endowed with a pair $(\nabla,h)$ where $\nabla$ is a flat connection and $h$ is a symmetric bivector field satisfying a contravariant Codazzi equation. When $h$ is invertible we recover the kn
Externí odkaz:
http://arxiv.org/abs/2001.03776
Autor:
Puechmorel, Stéphane, Tô, Tat Dat
We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique Hesse-Einstein metric. We also derive a convergence result for a twis
Externí odkaz:
http://arxiv.org/abs/2001.02940
Autor:
Siddiqui, Aliya Naaz1 (AUTHOR) aliyanaazsiddiqui9@mmumullana.org, Alkhaldi, Ali Hussain2 (AUTHOR) ahalkhaldi@kku.edu.sa, Alqahtani, Lamia Saeed3 (AUTHOR) lalqahtani@kau.edu.sa
Publikováno v:
Mathematics (2227-7390). May2022, Vol. 10 Issue 10, p1727-1727. 10p.
Autor:
Ion Mihai, Radu-Ioan Mihai
Publikováno v:
Mathematics, Vol 10, Iss 17, p 3061 (2022)
Chen’s first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a statistical setting were given by different authors. The obje
Externí odkaz:
https://doaj.org/article/7cc70a7b7d65435c98fac3ce217be3ff