Results 41 to 50 of about 28,626 (211)
On the Perelman’s reduced entropy and Ricci flat manifolds with maximal volume growth [PDF]
Mathematische Annalen, 2012 9 ...
Liang Cheng, Anqiang Zhu
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L p $L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds
Journal of Inequalities and Applications, 2021 In this paper, we establish a finiteness theorem for L p $L^{p}$ harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can
Jing Li, Shuxiang Feng, Peibiao Zhao
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Conformal geometry of Ricci flat $4$-manifolds [PDF]
Kodai Mathematical Journal, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Ricci flow in a class of solvmanifolds [PDF]
, 2012 In this paper, we study the Ricci flow of solvmanifolds whose Lie algebra has an abelian ideal of codimension one, by using the bracket flow. We prove that solutions to the Ricci flow are immortal, the omega-limit of bracket flow solutions is a single ...
Arroyo, Romina M.
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Ricci-flat kahler manifolds and supersymmetry
Physics Letters B, 1980 Abstract A class of supersymmetric non-linear σ-models obtained previously is shown to generate a set of explicit Ricci-flat Kahler metrics of even complex dimension. The two-dimensional case is a self-dual gravitational instanton, very probably the Eguchi-Hansen metric, while higher dimensional cases may coincide with manifolds of Calabi.
Luis Alvarez-Gaumé, Daniel Z. Freedman
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Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
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Some Higher Dimensional Vacuum Solutions [PDF]
, 2000 We study an even dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher (even) dimensional Ricci flat ...
Gürses, M, Karasu, A
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A gap theorem for Ricci-flat 4-manifolds
Differential Geometry and its Applications, 2015 Let $(M,g)$ be a compact Ricci-flat 4-manifold. For $p \in M$ let $K_{max}(p)$ (respectively $K_{min}(p)$) denote the maximum (respectively the minimum) of sectional curvatures at $p$. We prove that if $$K_{max} (p) \le \ -c K_{min}(p)$$ for all $p \in M$, for some constant $c$ with $0 \leq c < \frac{2+\sqrt 6}{4}$, then $(M,g)$ is flat.
Bhattacharya, Atreyee, Seshadri, Harish
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