Results 41 to 50 of about 736 (175)
The mixed Yamabe problem for foliations [PDF]
European Journal of Mathematics, 2015 The authors show that if \(\mathcal F\) is a harmonic and nowhere totally geodesic foliation defined by an orientable bundle on a closed Riemannian manifold \((M, g)\), or if \(\mathcal F\) (\(\dim \mathcal F > 1\)) is a totally geodesic foliation defined by an orientable bundle whose normal distribution is integrable on \((M, g)\), then there exists a
Rovenski, Vladimir, Zelenko, Leonid
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 more
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Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
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Equivariant Yamabe problem with boundary
, 2023 As a generalization of the Yamabe problem, Hebey and Vaugon considered the equivariant Yamabe problem: for a subgroup G of the isometry group, find a G-invariant metric whose scalar curvature is constant in a given conformal class.
Ho, Pak Tung;Shin, Jinwoo
core
A note on extremal functions for sharp Sobolev inequalities
Electronic Journal of Differential Equations, 2007 In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Marcos Montenegro, Ezequiel R. Barbosa
doaj
Conformal metrics of constant scalar curvature with unbounded volumes
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
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, 2015 We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concerned in the existence of metrics with constant Chern scalar curvature.
Angella, Daniele +2 more
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The non-linear Dirichlet problem and the CR Yamabe problem
Le Matematiche, 1999 See directly the ...
Nicola Garofalo, dimiter Vassilev
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Stability Analysis of Nondifferentiable Systems
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT Differential equations with right‐hand side functions that are not everywhere differentiable are referred to as nondifferentiable systems. This paper introduces three novel methods to address stability issues in nondifferentiable systems.
Jiwoon Sim, Tianxu Wang, Hao Wang
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