Lucio Bedulli
University of Bologna
Journal of Geometry and Physics | 2007
Lucio Bedulli; Luigi Vezzoni
Abstract Following the approach of Bryant [R. Bryant, Some remarks on G2-structures. e-print: math.DG/0305124] we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion.
Journal of Geometric Analysis | 2018
Lucio Bedulli; Weiyong He; Luigi Vezzoni
We prove a general result about the short-time existence and uniqueness of second-order geometric flows transverse to a Riemannian foliation on a compact manifold. Our result includes some flows already existing in the literature, as the transverse Ricci flow, the Sasaki–Ricci flow and the SasakiJ-flow and motivate the study of other evolution equations. We also introduce a transverse version of the Kähler–Ricci flow adapting some classical results to the foliated case.
Bulletin of The London Mathematical Society | 2009
Lucio Bedulli; Anna Maria Gori; Fabio Podestà
We prove that a maximal totally complex submanifold
Results in Mathematics | 2005
Lucio Bedulli; Anna Gori
N^{2n}
Proceedings of the American Mathematical Society | 2014
Lucio Bedulli; Anna Gori
of the quaternionic projective space
arXiv: Differential Geometry | 2019
Lucio Bedulli; Luigi Vezzoni
\mathbb{H}\mathbb{P}^n
Communications in Analysis and Geometry | 2008
Lucio Bedulli; Anna Gori
(
Transformation Groups | 2007
Lucio Bedulli; Anna Maria Gori
n\geq 2
Crelle's Journal | 2017
Lucio Bedulli; Luigi Vezzoni
) is a parallel submanifold, provided one of the following conditions is satisfied: (1)
Archiv der Mathematik | 2007
Lucio Bedulli; Anna Gori
N
