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The pontryagin forms of hessian manifolds

open access: yesThe 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  

Phase Space Electronic Structure Theory: From Diatomic Lambda-Doubling to Macroscopic Einstein-de Haas. [PDF]

open access: yesJ Phys Chem Lett
Peng L   +7 more
europepmc   +1 more source

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

open access: yesCalc Var Partial Differ Equ
Baudoin F   +3 more
europepmc   +1 more source

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