Results 41 to 50 of about 6,234 (203)

Characterizations of Trivial Ricci Solitons

Advances in Mathematical Physics, 2020
Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais   +2 more
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold

Universe, 2022
In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen, Yanlin Li, Sumanjit Sarkar, Santu Dey, Arindam Bhattacharyya   +4 more
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Fractional nonholonomic Ricci flows [PDF]

Chaos, Solitons & Fractals, 2012
We formulate the fractional Ricci flow theory for (pseudo) Riemannian geometries enabled with nonholonomic distributions defining fractional integro-differential structures, for non-integer dimensions. There are constructed fractional analogs of Perelman's functionals and derived the corresponding fractional evolution (Hamilton's) equations.
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The spinorial energy for asymptotically Euclidean Ricci flow

Advanced Nonlinear Studies, 2023
This article introduces a functional generalizing Perelman’s weighted Hilbert-Einstein action and the Dirichlet energy for spinors. It is well defined on a wide class of noncompact manifolds; on asymptotically Euclidean manifolds, the functional is shown
Baldauf Julius, Ozuch Tristan
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Space of Ricci Flows I

Communications on Pure and Applied Mathematics, 2012
AbstractIn this paper, we study the moduli spaces of m‐dimensional, κ‐noncollapsed Ricci flow solutions with bounded $\int |Rm|^{{m}/{2}}$ and bounded scalar curvature. We show a weak compactness theorem for such moduli spaces and apply it to study the estimates of isoperimetric constants, the Kähler‐Ricci flows, and the moduli spaces of gradient ...
Chen, Xiuxiong, Wang, Bing
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IgE to cyclophilin Bet v 7 triggers mast cell activation and mediates cross-reactivity with Ara h 18 in children with seasonal allergic rhinitis. [PDF]

Pediatr Allergy Immunol
Abstract Background Panallergens are ubiquitously expressed molecules that may drive IgE sensitization across diverse allergen sources, thereby shaping complex clinical phenotypes such as asthma and pollen–food allergy syndrome (PFAS). Although several panallergen families have been extensively characterized, unexplained sensitization patterns are ...
Sponholz W, Steinert C, Monnati F, Potapova E, Lidholm J, Mattsson L, Scala E, Bernardini R, Caffarelli C, Casani A, Cervone R, Del Duca E, Comberiati P, De Castro G, Del Giudice MM, Iacono ID, Businco ADR, Gallucci M, Giannetti A, Moschese V, Varin E, Bianchi A, Calvani M, Frediani T, Macrì F, Maiello N, Paravati F, Pelosi U, Peroni D, Pingitore G, Tosca M, Zicari AM, Ricci G, Asero R, Tripodi S, Matricardi PM, Scheffel J.   +36 more
europepmc   +2 more sources

Ricci-Bourgoignon Flow on Contact Manifolds

پژوهش‌های ریاضی, 2020
Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi, Shahroud Azami   +1 more
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Ricci ϕ-invariance on almost cosymplectic three-manifolds

Open Mathematics, 2023
Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
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Ricci flow on Kähler manifolds [PDF]

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001
In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the K hler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric with constant bisectional curvature.
Chen, Xiuxiong, Tian, Gang
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Propagation of symmetries for Ricci shrinkers

Advanced Nonlinear Studies, 2023
We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck, Minicozzi II William P.   +1 more
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