Results 121 to 130 of about 1,154 (200)

Kunneth formula for Hessian manifolds

We study Dolbeault--Koszul cohomology $H^{p,q}(M)$ of flat affine manifolds. We proove a Künneth formula \[ H^{p,q}(M\times N) \cong \bigoplus_{i,j} H^{i,j}(M)\otimes H^{p-i,q-j}(N) \] for flat affine manifolds $M,N$ with at least one compact. For compact manifolds we also give a proof via Hodge theory on flat affine manifolds, analogous to the ...
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Golden and Metallic Structures on Hessian Manifolds

We consider the reciprocal cost function $ J(x)=\frac12(x+x^{-1})-1 $ and its $n$-dimensional extension $$J(x_1,\ldots,x_n) = \frac12(R+R^{-1})-1, \qquad R=\prod_{i=1}^n x_i^{α_i}, \qquad α=(α_1,\ldots,α_n)\in\mathbb{R}^n\setminus\{0\}.$$ In logarithmic coordinates $t_i=\log x_i$, the Hessian of $J$ has rank one at every point.
Washburn, Jonathan, Zlatanović, Milan
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Gradient Systems and Asymmetric Relaxations in View of Riemannian Geometry. [PDF]

Entropy (Basel)
Bravetti A, García Ariza MÁ, Romero-Arias JR.   +2 more
europepmc   +1 more source

JKO schemes with general transport costs. [PDF]

Calc Var Partial Differ Equ
Rankin C, Wong TL.
europepmc   +1 more source

Ground State Energy Fluctuations of Pinned Elastic Manifolds. [PDF]

J Stat Phys
Fyodorov YV, Lacroix-A-Chez-Toine B, Le Doussal P.   +2 more
europepmc   +1 more source

GEORCE: a fast new control algorithm for computing geodesics. [PDF]

Inf Geom
Rygaard FM, Hauberg S.
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  

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

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

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

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