Results 121 to 130 of about 17,583 (186)

Invariance Principle for Lifts of Geodesic Random Walks. [PDF]

J Theor Probab
Junné J, Redig F, Versendaal R.
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Accurate and Affordable Vibrational Spectra of Large Molecules: Primary, Auxiliary, and Spectator Modes in a Perturb-then-Diagonalize Framework. [PDF]

J Chem Theory Comput
Barone V, Lazzari F, Mendolicchio M.
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Surgery and positive Bakry-Émery Ricci curvature. [PDF]

Calc Var Partial Differ Equ
Reiser P, Tripaldi F.
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The topology of 3-dimensional Hessian manifolds

This paper investigates the global topology of three-dimensional Hessian manifolds. We prove that every compact, orientable Hessian 3-manifold is either the Hantzsche Wendt manifold or admits the structure of a Kahler mapping torus. This result highlights a deep and intrinsic relationship between Hessian and Kahler geometries. Furthermore, we provide a
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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.
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Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. [PDF]

J Sci Comput
Altmann R, Peterseim D, Stykel T.
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Geometry-preserving vector field reconstruction of high-dimensional cell-state dynamics using ddHodge. [PDF]

Nat Commun
Maehara K, Ohkawa Y.
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Associative Phase Behavior and Negative Second-Order Virial Coefficients in Analytical Calculations of the Spinodal for Complex Mixtures Composed of Many Components. [PDF]

ACS Omega
Bot A, Brussee R, Venema P.
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Jean-Marie Souriau's Symplectic Foliation Model of Sadi Carnot's Thermodynamics. [PDF]

Entropy (Basel)
Barbaresco F.
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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.
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