Results 1 to 10 of about 30,041 (97)
Topological tools for the prescribed scalar curvature problem on S n [PDF]
Open Mathematics, 2014 In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere Sn, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type.
Abuzaid Dina +3 more
doaj +4 more sources
Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$ [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2023 We consider the prescribed scalar curvature problem on SN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Lipeng Duan, Monica Musso, Suting Wei
semanticscholar +7 more sources
The Prescribed Chern Scalar Curvature Problem [PDF]
The Journal of Geometric Analysis, 2022 The paper is an attempt to resolve the prescribed Chern scalar curvature problem. We look for solutions within the conformal class of a fixed Hermitian metric.
Elia Fusi
semanticscholar +7 more sources
The prescribed scalar curvature problem for metrics with unit total volume [PDF]
Mathematische Annalen, 2014 We solve the modified Kazdan–Warner problem of finding metrics with prescribed scalar curvature and unit total volume.
Shinichiroh Matsuo
semanticscholar +9 more sources
The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry [PDF]
Science China Mathematics, 2023 In this paper, we consider the prescribed Gauduchon scalar curvature problem on almost Hermitian manifolds. By deducing the expression of the Gauduchon scalar curvature under the conformal variation, we reduce the problem to solving a semi-linear partial
Yuxuan Li, Wubin Zhou, Xianchao Zhou
semanticscholar +4 more sources
On the prescribed scalar curvature problem on the three-dimensional half sphere [PDF]
Pacific Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Ben Ayed, Hichem Chtioui
semanticscholar +4 more sources
On the Chen–Lin Conjecture for the Prescribed Scalar Curvature Problem
The Journal of Geometric Analysis, 2023 We prove a criterion of existence of solutions conjectured by Chen and Lin (J Differ Geom 57:67–171, 2001) for the prescribed scalar curvature problem on the standard n-dimensional sphere, n≥3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{
Hichem Chtioui
semanticscholar +5 more sources
Correction: On the Chen–Lin Conjecture for the Prescribed Scalar Curvature Problem [PDF]
The Journal of Geometric Analysis, 2023 Hichem Chtioui
semanticscholar +3 more sources
On the prescribed scalar curvature problem on 4-manifolds
Duke Mathematical Journal, 1996 This work gives a complete and detailed proof of the result stated in the appendix of the paper of \textit{A. Bahri} and \textit{J. M. Coron} [J. Funct. Anal. 95, No. 1, 106-172 (1991; Zbl 0722.53032)]. The key part in the proof is to find a good pseudo-gradient flow. This is hard work. To do this, they need to find a good Morse lemma at bubbles. It is
Mohamed Ben Ayed +3 more
semanticscholar +5 more sources
The Journal of Geometric Analysis, 2023 We consider the problem of finding a metric in a given conformal class with prescribed non-positive scalar curvature and non-positive boundary mean curvature on an asymptotically Euclidean manifold with inner boundary.
Vladmir Sicca, Gantumur Tsogtgerel
semanticscholar +4 more sources