Results 11 to 20 of about 62 (52)

Analysis, Geometry and Topology of Positive Scalar Curvature Metrics (hybrid meeting) [PDF]

open access: yes, 2021
The investigation of Riemannian metrics with lower scalar curvature bounds has been a central topic in differential geometry for decades. It addresses foundational problems, combining ideas and methods from global analysis, geometric topology, metric ...

core   +2 more sources

Ricci flow of $W^{2,2}$-metrics in four dimensions [PDF]

open access: yes, 2023
In this paper we construct solutions to Ricci–DeTurck flow in four dimensions on closed manifolds which are instantaneously smooth but whose initial values g are (possibly) non-smooth Riemannian metrics whose components in smooth coordinates belong to $W^
Lamm, Tobias, Simon, Miles
core   +2 more sources

On the dynamical behaviour of the generalized Ricci flow

open access: yes, 2020
Motivated by M\"uller-Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results for pairs of Ricci-flat metrics and vanishing 3-forms under the ...
Raffero, Alberto, Vezzoni, Luigi
core   +1 more source

GENERALIZED η-RICCI SOLITONS ON TRANS-SASAKIAN MANIFOLDS ASSOCIATED TO THE SCHOUTEN-VAN KAMPEN CONNECTION [PDF]

open access: yes
In this paper, we study generalized η-Ricci solitons with respect to the Schouten-van Kampen connection on trans-Sasakian manifolds. We give an example of generalized η-Ricci solitons on a trans-Sasakian manifold with respect to the Schouten-van Kampen ...
Azami, Shahroud
core   +1 more source

RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE MODEL SPACE $Sol^{4}_{0}$ [PDF]

open access: yes
In this paper, we classify the Ricci solitons and the Ricci bi-conformal vector fields on model space $Sol^{4}_{0}$.
Azami, Shahroud, Sohrabpour, Mahin
core   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

open access: yesVeterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

Classification of compact manifolds with positive isotropic curvature

open access: yes, 2023
We show the following result: Let $(M,g_0)$ be a compact manifold of dimension $n\geq 12$ with positive isotropic curvature. Then $M$ is diffeomorphic to a spherical space form, or a quotient manifold of $\mathbb{S}^{n-1}\times \mathbb{R}$ by a cocompact
Huang, Hong
core  

International Congress of Mathematicians: 2022 July 6–14: Proceedings of the ICM 2022 [PDF]

open access: yes, 2023
Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022. Published with the support of the International

core   +2 more sources

Open manifolds with uniformly positive isotropic curvature

open access: yes, 2023
We prove the following result: Let $(M,g_0)$ be a complete noncompact manifold of dimension $n\geq 12$ with isotropic curvature bounded below by a positive constant, with scalar curvature bounded above, and with injectivity radius bounded below.
Huang, Hong
core  

On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime [PDF]

open access: yes
The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
core   +2 more sources

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