Results 21 to 30 of about 514 (177)
Complex Manifolds, 2022 Let (M, ∇, 〈, 〉) be a manifold endowed with a flat torsionless connection r and a Riemannian metric 〈, 〉 and (TkM)k≥1 the sequence of tangent bundles given by TkM = T(Tk−1M) and T1M = TM. We show that, for any k ≥ 1, TkM carries a Hermitian structure (Jk,
Boucetta Mohamed
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Homogeneous hessian manifolds [PDF]
Annales de l'Institut Fourier, 1980 A flat affine manifold is said to Hessian if it is endowed with a Riemannian metric whose local expression has the form g i j
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Curvature of Hessian manifolds
Differential Geometry and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Amari, J. Armstrong
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Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +3 more
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The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
Journal of Inequalities and Applications, 2016 In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.
Liuwei Zhang, Yan Zhao
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Hyperbolic compactification of M-theory and de Sitter quantum gravity
SciPost Physics, 2022 We present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy
G. Bruno De Luca, Eva Silverstein, Gonzalo Torroba
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Combinatorial Optimization with Information Geometry: The Newton Method
Entropy, 2014 e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
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Hybrid connections on Hessian manifolds
, 2023 A Hessian manifold $(M,D,g)$ is a manifold $M$ with a flat connection $D$ and a Riemannian or pseudo-Riemannian metric $g$ that is locally of the form $D^2 f$ for some function $f$. On a Hessian manifold $(M,D,g)$, we define a hybrid connection as an incompressible affine connection $\nabla$ that is projectively flat relative to $D$ (its unparametrized
Chéritat, Arnaud, Tahar, Guillaume
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Vanishing theorems for compact hessian manifolds [PDF]
Annales de l'Institut Fourier, 1986 A manifold is said to be Hessian if it admits a flat affine connection D and a Riemannian metric g such that
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The Dirichlet problem for the k-Hessian equation on a complex manifold
American Journal of Mathematics, 2022 We solve the Dirichlet problem for $k$-Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a priori estimate of the solution on the boundary with a particular gradient scale.
Collins, Tristan C., Picard, Sebastien
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