Results 51 to 60 of about 279 (142)

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

Journal 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, Ronan Herry, Eva Kopfer, Karl‐Theodor Sturm   +3 more
wiley   +1 more source

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

Electronic 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  

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

Journal 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

Existence result for the CR-Yamabe equation

Bruno 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  

SVT quest: The adventure diagnosing narrow QRS tachycardia

Journal 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, Gregory F. Michaud, Reginald T. Ho, Yasuo Okumura   +3 more
wiley   +1 more source

Singular CR structures of constant Webster curvature and applications

Mathematische 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, Ali Maalaoui, Vittorio Martino   +2 more
wiley   +1 more source

Volume comparison and the sigma_k-Yamabe problem

, 2002
In this paper we study the problem of finding a conformal metric with the property that the k-th elementary symmetric polynomial of the eigenvalues of its Weyl-Schouten tensor is constant. A new conformal invariant involving maximal volumes is defined, and this invariant is then used in several cases to prove existence of a solution, and compactness of
Gursky, Matthew J., Viaclovsky, Jeff A.
openaire   +3 more sources

On Gauss-Bonnet Curvatures

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k = 1$.
Mohammed Larbi Labbi
doaj  

Compactness of solutions to the Yamabe problem

Comptes Rendus. Mathématique, 2004
We establish compactness of solutions to the Yamabe problem on any smooth compact connected Riemannian manifold (not conformally diffeomorphic to standard spheres) of dimension n ⩽7 as well as on any manifold of dimension n ⩾8 under some additional ...
Li, YanYan, Zhang, Lei
openaire   +2 more sources

On Yamabe's problem---by a modified direct method

Tohoku Mathematical Journal, 1982
In this article, the author gives a new proof of T. Aubin's result to the effect that the total scalar curvature functional achieves its infimum in a given conformal class of metrics provided this infimum is less than its value on the standard sphere. The method is more functional analytical in spirit than Aubin's.
openaire   +3 more sources