Results 201 to 210 of about 112,001 (232)

Fast convergence of trust-regions for non-isolated minima via analysis of CG on indefinite matrices. [PDF]

Math Program
Rebjock Q, Boumal N.
europepmc   +1 more source

From Geometry of Hamiltonian Dynamics to Topology of Phase Transitions: A Review. [PDF]

Entropy (Basel)
Pettini G, Gori M, Pettini M.
europepmc   +1 more source

Polynomial Regression on Lie Groups and Application to SE(3). [PDF]

Entropy (Basel)
Aubray J, Nicol F.
europepmc   +1 more source

Horizon data: existence results and a near-horizon equation on general null hypersurfaces. [PDF]

Gen Relativ Gravit
Manzano M, Mars M.
europepmc   +1 more source

Phase Separation in Complex Mixtures with Many Components: Analytical Expressions for Spinodal Manifolds. [PDF]

ACS Omega
Bot A, van der Linden E, Venema P.
europepmc   +1 more source

Reconstructing Waddington's Landscape from Data

Cislo DJ, Delás MJ, Briscoe J, Siggia ED.   +3 more
europepmc   +1 more source

Locally Conformally Hessian and Statistical Manifolds [PDF]

Journal of Geometry and Physics, 2023
A statistical manifold $\left(M,D,g\right)$ is a manifold $M$ endowed with a torsion-free connection $D$ and a Riemannian metric $g$ such that the tensor $D g$ is totally symmetric. If $D$ is flat then $\left(M,g,D\right)$ is a Hessian manifold. A locally conformally Hessian (l.c.H) manifold is a quotient of a Hessian manifold $(C,\nabla,g)$ such that ...
Pavel Osipov
exaly   +6 more sources

Selfsimilar Hessian Manifolds [PDF]

Journal of Geometry and Physics, 2022
A selfsimiar manifold is a Riemannian manifold $\left(M,g\right)$ endowed with a homothetic vector field $ξ$. We characterize global selfsimilar manifolds and describe the structure of local selfsimilar manifolds. We prove that any selfsimilar manifold with a potential homothetic vector field is a conical Riemannian manifold or a Eucledean space.
Pavel Osipov
exaly   +4 more sources

Geometry of Hessian Manifolds

Differential Geometry and Its Applications, 1997
An affine manifold is Hessian if it possesses a Hessian metric, that is, a Riemannian metric which is locally the Hessian of a function. Hessian manifolds are the analogue of Kähler manifolds among affine manifolds and enjoy many strong properties. For example, the first theorem in the paper is that a simply connected affine manifold with a complete ...
Hirohiko Shima
exaly   +2 more sources