Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Bedulli, Lucio"'
Autor:
Bedulli, Lucio, Vezzoni, Luigi
We study the flow of Hermitian metrics governed by the second Chern-Ricci form on a compact complex manifolds. The flow belongs to the family of Hermitian curvature flows introduced by Streets and Tian and it was considered by Lee in order to study c
Externí odkaz:
http://arxiv.org/abs/2407.17061
Autor:
Bedulli, Lucio, Vannini, Alessandro
We present an effective construction of non-Kaehler supersymmetric mirror pairs in the sense of Lau,Tseng and Yau starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partner
Externí odkaz:
http://arxiv.org/abs/2311.17899
We show that the parabolic quaternionic Monge-Amp\`ere equation on a compact hyperk\"ahler manifold has always a long-time solution which once normalized converges smoothly to a solution of the quaternionic Monge-Amp\`ere equation. This is the same s
Externí odkaz:
http://arxiv.org/abs/2303.02689
We consider the natural generalization of the parabolic Monge-Amp\`ere equation to HKT geometry. We prove that in the compact case the equation has always a short-time solution and when the hypercomplex manifold is locally flat and admits a hyperk\"a
Externí odkaz:
http://arxiv.org/abs/2105.04925
Autor:
Bedulli, Lucio, Vezzoni, Luigi
We prove that the parabolic flow of conformally balanced metrics introduced by Phong, Picard and Zhang in "A flow of conformally balanced metrics with K\"ahler fixed points", is stable around Calabi-Yau metrics. The result shows that the flow can con
Externí odkaz:
http://arxiv.org/abs/2005.05670
Autor:
Bedulli, Lucio, Vezzoni, Luigi
We observe that the DeTurck Laplacian flow of G2-structures introduced by Bryant and Xu as a gauge fixing of the Laplacian flow can be regarded as a flow of G2-structures (not necessarily closed) which fits in the general framework introduced by Hami
Externí odkaz:
http://arxiv.org/abs/2005.03332
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Bedulli, Lucio, Vezzoni, Luigi
We prove a general result about the stability of geometric flows of "closed" sections of vector bundles on compact manifolds. Our theorem allows to prove a stability result for the modified Laplacian coflow in G2-geometry introduced by Grigorian and
Externí odkaz:
http://arxiv.org/abs/1811.09416
Autor:
Bedulli, Lucio, Vezzoni, Luigi
We introduce a new geometric flow of Hermitian metrics which evolves an initial metric along the second derivative of the Chern scalar curvature. The flow depends on the choice of a background metric, it always reduces to a scalar equation and preser
Externí odkaz:
http://arxiv.org/abs/1703.05068
Publikováno v:
J. Geom. Anal. 28 (2018), no. 1, 697-725
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 literature, as the transverse Ricci
Externí odkaz:
http://arxiv.org/abs/1505.03258