Results 21 to 30 of about 17,583 (186)
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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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 ij =∂ 2 Φ ∂x i ∂x j where Φ is a C ∞ -function and {x 1 ,...,x n } is an affine local coordinate system. Let M be a Hessian manifold. We show that if M is homogeneous, the universal covering manifold of M is a convex domain in R n
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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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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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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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On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature [PDF]
Journal of Mathematics and Statistics, 2005 In this study, we give one instrinsic inequality for Riemannian hypersurfaces in Hessian manifolds and sufficient and necessary condition for such hypersurfaces to be totally geodesic.
Mehmet Bektas +2 more
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Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations [PDF]
, 2018 We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the horizontal and vertical Laplacians.
Baudoin, Fabrice +3 more
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Transversely Hessian foliations and information geometry [PDF]
, 2015 A family of probability distributions parametrized by an open domain $\Lambda$ in $R^n$ defines the Fisher information matrix on this domain which is positive semi-definite.
Boyom, Michel Nguiffo, Wolak, Robert A.
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Complex Hessian Equation on Kähler Manifold [PDF]
International Mathematics Research Notices, 2009 12 ...
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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 g=D 2 u where u is a local function. We study cohomology for Hessian manifolds, and prove a duality theorem and vanishing theorems.
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