Results 21 to 30 of about 1,595 (144)
International Journal of Mathematics and Mathematical Sciences, 2005 We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold ...
Dae Won Yoon
doaj +1 more source
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +1 more source
A Review of and Some Results for Ollivier–Ricci Network Curvature
Mathematics, 2020 Characterizing topological properties and anomalous behaviors of higher-dimensional topological spaces via notions of curvatures is by now quite common in mainstream physics and mathematics, and it is therefore natural to try to extend these notions from
Nazanin Azarhooshang +2 more
doaj +1 more source
Ricci curvature of submanifolds in Kenmotsu space forms
International Journal of Mathematics and Mathematical Sciences, 2002 In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension.
Kadri Arslan +4 more
doaj +1 more source
A New Transport Distance and Its Associated Ricci Curvature of Hypergraphs
Analysis and Geometry in Metric Spaces, 2022 The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin–Lu– Yau have been studied from various aspects. In this paper, we propose a new transport distance appropriate for hypergraphs and study a generalization of ...
Akamatsu Tomoya
doaj +1 more source
An axially symmetric spacetime with causality violation in Ricci-inverse gravity
European 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
Archaeological Prospection, EarlyView.ABSTRACT This study presents a multi‐method non‐invasive investigation of an approximately 4‐ha area associated with the long‐occupied coastal settlement of Rocavecchia (Apulia, southern Italy), situated between the prehistoric fortified peninsula and the Hellenistic‐Messapian walls.
Giuseppe Guarino +3 more
wiley +1 more source
Kropina Metrics with Isotropic Scalar Curvature
Axioms, 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
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
wiley +1 more source
Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms
Mathematics, 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