Results 31 to 40 of about 18,606 (130)
Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature [PDF]
We will show the Cheeger–Colding segment inequality for manifolds with integral Ricci curvature bound. By using this segment inequality, the almost rigidity structure results for integral Ricci curvature will be derived by a similar method as in [1 ...
Linan Chen
semanticscholar +1 more source
Some Inequalities on Finsler Manifolds with Weighted Ricci Curvature Bounded Below [PDF]
We establish some important inequalities under a lower weighted Ricci curvature bound on Finsler manifolds. Firstly, we establish a relative volume comparison of Bishop–Gromov type.
Xinyue Cheng, Zhongmin Shen
semanticscholar +1 more source
Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form.
Ali H. Al-Khaldi +3 more
openaire +3 more sources
Chen-Ricci inequalities in slant submersions for complex space forms
The goal of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of slant submersions in complex space forms.
Gündüzalp, Yılmaz, Polat, Murat
openaire +2 more sources
Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Summary: Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant ...
Kilic, Erol +2 more
openaire +4 more sources
ABSTRACT The institutional current effort to regulate and increase the quantity and quality of sustainability information reported by companies is undeniable. However, the growing complexity of sustainability reporting standards creates isolated compartments for each major dimension of sustainability, leaving aside their interconnectedness and combined
M. Marco‐Fondevila +3 more
wiley +1 more source
Classification Results of f-Biharmonic Immersion in T-Space Forms
We investigate f-biharmonic submanifolds in T-space form, where we analyze different scenarios and provide necessary and sufficient conditions for f-biharmonicity.
Md Aquib +2 more
doaj +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Quaternion Statistical Submanifolds and Submersions
This paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source

