Results 31 to 40 of about 29,467 (233)
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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Evolution of the Weyl Tensor under the Ricci Flow [PDF]
, 2011 We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci ...
Catino, Giovanni, Mantegazza, Carlo
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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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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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Infinite time singularities of the K\"ahler-Ricci flow [PDF]
, 2016 We study the long-time behavior of the Kahler-Ricci flow on compact Kahler manifolds. We give an almost complete classification of the singularity type of the flow at infinity, depending only on the underlying complex structure.
Tosatti, Valentino, Zhang, Yuguang
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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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Ricci-Flat Metrics on Vector Bundles Over Flag Manifolds [PDF]
Communications in Mathematical Physics, 2020 AbstractWe construct explicit complete Ricci-flat metrics on the total spaces of certain vector bundles over flag manifolds of the group SU(n), for all Kähler classes. These metrics are natural generalizations of the metrics of Candelas–de la Ossa on the conifold, Pando Zayas–Tseytlin on the canonical bundle over $$\mathbb {CP}^1\times \mathbb {CP}^1 ...
Achmed-Zade, Ismail, Bykov, Dmitri
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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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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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