Results 21 to 30 of about 6,487 (140)
Improved Chen–Ricci inequality for curvature-like tensors and its applications
We present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tensors. Applying our improved Chen–Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C-totally real submanifolds of ...
Mukut Mani Tripathi +1 more
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The stability inequality for Ricci-flat cones
In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
Haslhofer, Robert +2 more
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An Algebraic Inequality with Applications to Certain Chen Inequalities
We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space ...
Ion Mihai, Radu-Ioan Mihai
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Chen-Ricci inequalities for Riemannian maps and their applications
AMS Special Session Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930-2017) at Joint Mathematical Meeting -- JAN 16, 2020 -- Denver, CORiemannian maps between Riemannian manifolds, originally introduced by A.E ...
Lee, Chul Woo +4 more
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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
Functional inequalities and manifolds with nonnegative weighted Ricci curvature [PDF]
summary:We show that $n$-dimensional $(n\geqslant 2)$ complete and noncompact metric measure spaces with nonnegative weighted Ricci curvature in which some Caffarelli-Kohn-Nirenberg type inequality holds are isometric to the model metric measure $n ...
Mao, Jing
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Classification Results of f-Biharmonic Immersion in T-Space Forms
We investigate f-biharmonic submanifolds in T-space form, where we analyze different scenarios and provide necessary and sufficient conditions for f-biharmonicity.
Md Aquib +2 more
doaj +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\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
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
We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth.
Lee, Jihye, Ricci, Fabio
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