Results 51 to 60 of about 7,385 (153)

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly   +3 more
wiley   +1 more source

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo   +3 more
wiley   +1 more source

The Yamabe Problem and Nonlinear Boundary Value Problems

open access: yesJournal of Differential Equations, 1995
The paper is concerned with the scalar curvature equation with prescribed mean curvature on the boundary of a given Riemannian manifold. Just as in \textit{T. Ouyang} [Trans. Am. Math. Soc. 331, No. 2, 503-527 (1992; Zbl 0759.35021)], this Riemannian manifold is assumed to have negative constant scalar curvature in the interior and zero mean curvature ...
openaire   +1 more source

A factorization of the GJMS operators of special Einstein products and applications

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We show that the GJMS operators of a special Einstein product factor as a composition of second‐ and fourth‐order differential operators. In particular, our formula applies to the Riemannian product Hℓ×Sd−ℓ$H^{\ell } \times S^{d-\ell }$. We also show that there is an integer D=D(k,ℓ)$D = D(k,\ell)$ such that if d⩾D$d \geqslant D$, then for any
Jeffrey S. Case, Andrea Malchiodi
wiley   +1 more source

SVT quest: The adventure diagnosing narrow QRS tachycardia

open access: yesJournal of Arrhythmia, Volume 40, Issue 4, Page 767-785, August 2024.
The SVT mechanism includes atrial tachycardia (AT), orthodromic reciprocating tachycardia (ORT) via an atrioventricular accessory pathway (AP), nodoventricular pathway (NVP), nodofascicular pathway (NFP) or His‐ventricular pathway, and atrioventricular nodal reentrant tachycardia (AVNRT).
Koichi Nagashima   +3 more
wiley   +1 more source

Singular CR structures of constant Webster curvature and applications

open access: yesMathematische Nachrichten, Volume 297, Issue 3, Page 943-961, March 2024.
Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi   +2 more
wiley   +1 more source

Plant‐derived compounds as potential leads for new drug development targeting COVID‐19

open access: yesPhytotherapy Research, Volume 38, Issue 3, Page 1522-1554, March 2024.
Abstract COVID‐19, which was first identified in 2019 in Wuhan, China, is a respiratory illness caused by a virus called severe acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2). Although some patients infected with COVID‐19 can remain asymptomatic, most experience a range of symptoms that can be mild to severe. Common symptoms include fever, cough,
Lingxiu Liu, Maxim Kapralov, Mark Ashton
wiley   +1 more source

Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem

open access: yesElectronic Journal of Differential Equations, 2000
We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
doaj  

The Yamabe problem

open access: yes, 2023
Βασικό αντικείμενο της παρούσας διπλωματικής εργασίας είναι το πρόβλημα του Yamabe, το οποίο αφορά τη σύμμορφη παραμόρφωση μιας μέτρικής Riemann σε κάποια με σταθερή βαθμωτή καμπυλότητα. Στο Κεφάλαιο 1 κάνουμε μια ανασκόπιση του προβλήματος, και επιπλέον παρουσιάζουμε μία λύση του προβλήματος για διάσταση 2 χρησιμοποιόντας μεθόδους επιφανειών Riemann ...
openaire   +1 more source

Existence result for the CR-Yamabe equation

open access: yesBruno Pini Mathematical Analysis Seminar, 2013
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
doaj  

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