Results 31 to 40 of about 581 (202)
Weighted Sobolev Inequalities and Ricci Flat Manifolds [PDF]
Geometric and Functional Analysis, 2009 We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci curvature satisfying an inverse doubling volume condition. It enables us to obtain rigidity results for Ricci flat manifolds, generalizing earlier work of Bando, Kasue and Nakajima.
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On noncollapsed almost Ricci-flat 4-manifolds [PDF]
American Journal of Mathematics, 2019 We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero A-hat genus. Another condition is that the fundamental group is infinite or, more generally, of sufficiently large cardinality.
Kapovitch, Vitali, Lott, John
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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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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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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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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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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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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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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Mathematics, 2021 In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration ...
Josef Mikeš +3 more
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