Results 51 to 60 of about 283,922 (217)

Ricci curvatures on Hermitian manifolds

open access: yesTransactions of the American Mathematical Society, 2017
In this paper, we introduce the first Aeppli-Chern class for complex manifolds and show that the ( 1 , 1
Liu, Kefeng, Yang, Xiaokui
openaire   +3 more sources

An axially symmetric spacetime with causality violation in Ricci-inverse gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an anti-curvature scalar that is obtained from the anti-curvature tensor which is the inverse of the Ricci ...
J. C. R. de Souza, A. F. Santos
doaj   +1 more source

Kropina Metrics with Isotropic Scalar Curvature

open access: yesAxioms, 2023
In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
doaj   +1 more source

Modified Ricci flow on a principal bundle [PDF]

open access: yes, 2008
textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
core   +1 more source

The Ricci curvature in noncommutative geometry [PDF]

open access: yesJournal of Noncommutative Geometry, 2019
Motivated by the local formulae for asymptotic expansion of heat kernels in spectral geometry, we propose a definition of Ricci curvature in noncommutative settings. The Ricci operator of an oriented closed Riemannian manifold can be realized as a spectral functional, namely the functional defined by the zeta function of the full Laplacian of the de ...
Remus Floricel   +2 more
openaire   +2 more sources

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications 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
wiley   +1 more source

The Ricci curvature on simplicial complexes [PDF]

open access: yes, 2022
We define the Ricci curvature on simplicial complexes by modifying the definition of the Ricci curvature on graphs, and we prove the upper and lower bounds of the Ricci curvature. These properties are generalizations of previous studies.
Yamada, Taiki
core  

Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms

open access: yesMathematics, 2020
The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and
Meraj Ali Khan, Ibrahim Aldayel
doaj   +1 more source

Ultrasound Findings in Symptomatic HADD of the Hand and Wrist. A Case Series of 37 Patients

open access: yesJournal of Clinical Ultrasound, EarlyView.
Ultrasound enables accurate diagnosis of hydroxyapatite deposition disease of the hand and wrist in patients with acute, non‐traumatic pain, typically in middle‐aged women. Characteristic calcifications, often in the resorptive phase, support diagnosis, while radiography may confirm findings without the need for advanced imaging.
Marco Becciolini   +3 more
wiley   +1 more source

Ricci curvature, graphs and eigenvalues

open access: yes, 2021
Siconolfi V. Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications. 2021;620:242-267.We express the discrete Ricci curvature of a graph as the minimal eigenvalue of a family of matrices, one for each vertex of a graph whose entries
Siconolfi, Viola, Viola Siconolfi
core   +1 more source

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