Zobrazeno 1 - 10
of 308
pro vyhledávání: '"Martino, Vittorio"'
In this paper we investigate the existence of singular solutions to the conformal Dirac-Einstein system. Because of its conformal invariance, there are many similarities with the classical construction of singular solutions for the Yamabe problem. We
Externí odkaz:
http://arxiv.org/abs/2403.13984
Autor:
Martino, Vittorio, Tralli, Giulio
In this paper we aim at characterizing the gauge balls in the Heisenberg group $\mathbb{H}^n$ as the only domains where suitable overdetermined problems of Serrin type can be solved. We discuss a one parameter family of overdetermined problems where
Externí odkaz:
http://arxiv.org/abs/2310.10389
In this paper we aim at identifying the level sets of the gauge norm in the Heisenberg group $\mathbb{H}^n$ via the prescription of their (non-constant) horizontal mean curvature. We establish a uniqueness result in $\mathbb{H}^1$ under an assumption
Externí odkaz:
http://arxiv.org/abs/2207.02181
In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for the Dirac operator. We characterize the bubbling phenomenon, also clas
Externí odkaz:
http://arxiv.org/abs/2204.00031
Autor:
Maalaoui, Ali, Martino, Vittorio
In this paper we consider the problem of prescribing the $\bar{Q}'$-curvature on three dimensional Pseudo-Einstein CR manifolds. We study the gradient flow generated by the related functional and we will prove its convergence to a limit function unde
Externí odkaz:
http://arxiv.org/abs/2203.14162
Autor:
Maalaoui, Ali, Martino, Vittorio
In this paper we consider the Hilbert-Einstein-Dirac functional, whose critical points are pairs, metrics-spinors, that satisfy a system coupling the Riemannian and the spinorial part. Under some assumptions, on the sign of the scalar curvature and t
Externí odkaz:
http://arxiv.org/abs/2203.14163
In this paper we consider the coupled system given by the first variation of the conformal Dirac-Einstein functional. We will show existence of solutions by means of perturbation methods.
Externí odkaz:
http://arxiv.org/abs/2001.07412
We consider the sphere $\Sph^{2n+1}$ equipped with its standard CR structure. In this paper we construct explicit contact forms on $\Sph^{2n+1}\setminus \Sph^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have cons
Externí odkaz:
http://arxiv.org/abs/1908.10696
In this paper we consider the functional whose critical points are solutions of the fractional CR Yamabe type equation on the sphere. We firstly study the behavior of the Palais-Smale sequences characterizing the bubbling phenomena and therefore we p
Externí odkaz:
http://arxiv.org/abs/1801.06399