Results 41 to 50 of about 112,001 (232)
The obstacle problem for conformal metrics on compact Riemannian manifolds
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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On warped product manifolds satisfying Ricci-Hessian class type equations
We deal with a study of warped product manifold which is also a generalized quasi Einstein manifold. Then, we investigate the relationships between such warped products and certain manifolds that provide some Ricci-Hessian type equations, such ...
Sinem Güler +4 more
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Homophily‐adjusted social influence estimation
Abstract Homophily and social influence are two key concepts of social network analysis. Distinguishing between these phenomena is difficult, and approaches to disambiguate the two have been primarily limited to longitudinal data analyses. In this study, we provide sufficient conditions for valid estimation of social influence through cross‐sectional ...
Hanh T.D. Pham, Daniel K. Sewell
wiley +1 more source
The Gauge Equation in Statistical Manifolds: An Approach through Spectral Sequences
The 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
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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HESSE MANIFOLDS AND HESSIAN SYMMETRIES OF MULTIFIELD COSMOLOGICAL MODELS
© 2021, Publishing House of the Romanian Academy. All rights reserved.I give a brief overview of the mathematical theory of Noether symmetries of multifield cosmological models, which decompose naturally into visible and Hessian (a.k.a.
Calin Iuliu Lazaroiu
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ABSTRACT Actin filaments exhibit isoform and species‐specific mechanical properties that are commonly quantified via their persistence length, yet the reliability of such measurements depends not only on the analysis method but also on dataset characteristics.
Peter Nietmann +3 more
wiley +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
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
wiley +1 more source
Hessian Equations of Krylov Type on Kähler Manifolds
In this paper, we consider Hessian equations with its structure as a combination of elementary symmetric functions on closed Kähler manifolds. We provide a sufficient and necessary condition for the solvability of these equations, which generalize the results of Hessian equations and Hessian quotient equations.
openaire +3 more sources
ON DUAL HOLOMORPHIC B-TYPE HESSIAN METRICS
The main purpose of the present paper is to construct some B-type Hessian ...
KARAMAN, Çağrı, GEZER, Aydın
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