Results 21 to 30 of about 112,001 (232)

A generalised Ricci-Hessian equation on Riemannian manifolds [PDF]

summary:In this paper, we prove new rigidity results related to some generalised Ricci-Hessian equation on Riemannian ...
Ginoux, Nicolas, Habib, Georges
core   +2 more sources

Hyperbolic compactification of M-theory and de Sitter quantum gravity

SciPost Physics, 2022
We present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy
G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba
doaj   +1 more source

Combinatorial Optimization with Information Geometry: The Newton Method

Entropy, 2014
e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
doaj   +1 more source

Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds [PDF]

, 2018
We establish variational formulas for Ricci upper and lower bounds, as well as a derivative formula for the Ricci curvature. Combining these with derivative and Hessian formulas of the heat semigroup developed from stochastic analysis, we identify ...
Feng-yu Wang
core   +1 more source

Vanishing theorems for compact hessian manifolds [PDF]

Annales de l'Institut Fourier, 1986
A manifold is said to be Hessian if it admits a flat affine connection D and a Riemannian metric g such that
openaire   +2 more sources

The Dirichlet problem for the k-Hessian equation on a complex manifold

American Journal of Mathematics, 2022
We solve the Dirichlet problem for $k$-Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a priori estimate of the solution on the boundary with a particular gradient scale.
Collins, Tristan C., Picard, Sebastien
openaire   +3 more sources

A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature [PDF]

ISRN Geometry, 2011
The geometry of Hessian manifold, as a branch of statistics, physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a new field for scientists. However, inspite of its importance submanifolds and curvature conditions of it have not been so well known yet.
Yilmaz, Münevver Yildirim, Bektaş, Mehmet   +1 more
openaire   +2 more sources

Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Convergence of the Hesse-Koszul flow on compact Hessian manifolds

, 2023
International audienceWe 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
Puechmorel, Stéphane, Tô, Tat Dat
core   +1 more source

Reaction Kinetics Path Based on Entropy Production Rate and Its Relevance to Low-Dimensional Manifolds

Entropy, 2014
The equation that approximately traces the trajectory in the concentration phase space of chemical kinetics is derived based on the rate of entropy production.
Shinji Kojima
doaj   +1 more source