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On Hessian Structures on an Affine Manifold
1981On a smooth manifold, an affine connection whose torsion and curvature vanish identically is called an affine structure. A smooth manifold provided with an affine structure is called an affine manifold. Let M be an affine manifold with an affine structure D. The co-variant differentiation by D will be also denoted by D.
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Generic Perturbations of Riemannian Hessian Manifolds
2023Louis Okechukwu Omenyi, Kenneth Uda
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The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Entropy, 2020Adela Mihai, Ion Mihai
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Stochastics and Partial Differential Equations: Analysis and Computations, 2022
Li-Juan Cheng, Anton Thalmaier
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Li-Juan Cheng, Anton Thalmaier
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Wintgen inequality for surfaces in Hessian manifolds
Publicationes Mathematicae Debrecen, 2021Leila Samereh, Ion Mihai
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Bronze Hessian Structure and Kaehler-Norden Manifolds
In this paper, we investigated the locally decomposable Bronze-Hessian manifolds and holomorphic Bronze Norden Hessian manifolds. We investigate that if the smooth function f:M→R is decomposable, then the triplet (M,Ψ,∇2 f) is a locally decomposable Bronze Hessian manifold, where Ψ is a Bronze structure and ∇ represents the Levi-Civita Connection of g.Sameer, Raksha Chandel, Kiran Bala
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Second order estimates for complex Hessian equations on Hermitian manifolds
Discrete and Continuous Dynamical Systems, 2021exaly
Regularity for an obstacle problem of Hessian equations on Riemannian manifolds
Journal of Differential Equations, 2015Heming Jiao
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The Dirichlet problem for Hessian equations on Riemannian manifolds
Calculus of Variations and Partial Differential Equations, 1999Bo Guan
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