Results 121 to 130 of about 1,147 (194)

The topology of 3-dimensional Hessian manifolds

We investigate the global topology of 3-dimensional Hessian manifolds. We prove that any compact, orientable 3-dimensional Hessian manifold is either a Hantzsche-Wendt manifold or admits the structure of a Kähler mapping torus. We analyze the parity of Betti numbers for compact, orientable 3-dimensional Hessian manifolds, with special focus on those of
openaire   +2 more sources

Stringy Corrections to Heterotic SU(3)-Geometry. [PDF]

Commun Math Phys
McOrist J, Picard S.
europepmc   +1 more source

Geometry-preserving vector field reconstruction of high-dimensional cell-state dynamics using ddHodge. [PDF]

Nat Commun
Maehara K, Ohkawa Y.
europepmc   +1 more source

Geometric Direct Minimization for Low-Spin Restricted Open-Shell Hartree-Fock Theory. [PDF]

J Chem Theory Comput
Burton HGA.
europepmc   +1 more source

Hessian geometry and Frobenius manifolds with curvature

A Riemannian metric is called Hessian if, locally, it can be written as the Hessian of a function called the Hessian potential. A (flat) Manin-Frobenius manifold is a flat Riemannian manifold furnished with a commutative and associative product compatible with the metric, such that a certain potentiality property is satisfied.
openaire   +2 more sources

Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

The pontryagin forms of hessian manifolds

The pontryagin forms of hessian manifolds
We show that Hessian manifolds of dimensions 4 and above must have vanishing Pontryagin forms. This gives a topological obstruction to the existence of Hessian metrics. We find an additional explicit curvature identity for Hessian 4-manifolds. By contrast, we show that all analytic Riemannian 2-manifolds are Hessian.
openaire  

Feature level quantitative ultrasound and CT information fusion to predict the outcome of head & neck cancer radiotherapy treatment: Enhanced principal component analysis. [PDF]

Med Phys
Moslemi A, Safakish A, Sannachi L, Alberico D, Czarnota GJ.   +4 more
europepmc   +1 more source

Neuronal tuning aligns dynamically with object and texture manifolds across the visual hierarchy. [PDF]

Nat Neurosci
Wang B, Ponce CR.
europepmc   +1 more source

Leveraging Configuration Interaction Singles for Qualitative Descriptions of Ground and Excited States: State-Averaging, Linear-Response, and Spin-Projection. [PDF]

J Chem Theory Comput
Tsuchimochi T, Mokhtar B.
europepmc   +1 more source