Results 41 to 50 of about 514 (177)
The obstacle problem for conformal metrics on compact Riemannian manifolds
Journal of Inequalities and Applications, 2018 We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds (Mn,g) $(M^{n}, g)$ arising from conformal deformation.
Sijia Bao, Yuming Xing
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The Gauge Equation in Statistical Manifolds: An Approach through Spectral Sequences
MathematicsThe gauge equation is a generalization of the conjugacy relation for the Koszul connection to bundle morphisms that are not isomorphisms. The existence of nontrivial solution to this equation, especially when duality is imposed upon related connections ...
Michel Nguiffo Boyom +1 more
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Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures
Entropy, 2018 In this paper, we present a review of recent developments on the κ -deformed statistical mechanics in the framework of the information geometry.
Antonio M. Scarfone +2 more
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Hessian manifolds of constant Hessian sectional curvature
Journal of the Mathematical Society of Japan, 1995 Let \(M\) be a flat affine manifold with a flat affine connection \(D\). If \(M\) admits a Riemannian metric \(g\) such that \(g\) is locally expressed by \(g= D^2 u\), then \((M, D, g)\) is said to be a Hessian manifold. We define Hessian sectional curvatures (these correspond to holomorphic sectional curvatures for Kählerian manifolds) and construct ...
openaire +3 more sources
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve +4 more
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FlexMat, EarlyView.Abstract Soft robots, engineered from highly compliant materials, offer superior adaptability and safety in unstructured environments compared to their rigid counterparts. Recent advancements, fueled by bio‐inspiration and material programmability, have led to the rapid co‐evolution of their core modules: actuation, sensing, protection, energy, and ...
Qiulei Liu +3 more
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On the Relationships Between Affine Manifolds and Complex Manifolds
MathematicsIn this work, we study the relationships between affine manifolds and complex manifolds. We prove that a linear connection and a Riemannian metric on an affine manifold M of dimension n induce a complex structure and a Hermitian metric on both the ...
Hanzhang Yin
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To jointly reconstruct high‐resolution diffusion‐weighted volumes and eliminate slab‐boundary artifacts while preserving fine anatomical detail from undersampled 3D multi‐slab k‐space acquisitions. Methods A bilinear forward model was formulated to describe the 3D multi‐slab acquisition, treating the image volume and slab excitation ...
Reza Ghorbani +4 more
wiley +1 more source