Geometric flows for the type IIA string
A geometric flow on $6 $-dimensional symplectic manifolds is introduced which is motivated
by supersymmetric compactifications of the Type IIA string. The underlying structure turns out …
by supersymmetric compactifications of the Type IIA string. The underlying structure turns out …
Closed warped G-structures evolving under the Laplacian flow
We study the behaviour of the Laplacian flow evolving closed G $ _2 $-structures on warped
products of the form $ M^ 6\times {\mathbb S}^ 1$, where the base $ M^ 6$ is a compact 6 …
products of the form $ M^ 6\times {\mathbb S}^ 1$, where the base $ M^ 6$ is a compact 6 …
SYZ mirror symmetry of solvmanifolds
L Bedulli, A Vannini - Annali di Matematica Pura ed Applicata (1923-), 2024 - Springer
We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense
of Lau, Tseng and Yau (Commun. Math. Phys. 340: 145–170, 2015) starting from left …
of Lau, Tseng and Yau (Commun. Math. Phys. 340: 145–170, 2015) starting from left …
Calibrated and parallel structures on almost Abelian Lie algebras
M Freibert - arXiv preprint arXiv:1307.2542, 2013 - arxiv.org
In this article, we determine the seven-dimensional almost Abelian Lie algebras which admit
calibrated or parallel G_2-/G_2^*-structures. Along the way, we show that certain well …
calibrated or parallel G_2-/G_2^*-structures. Along the way, we show that certain well …
[PDF][PDF] Lattices, cohomology and models of 6-dimensional almost abelian solvmanifolds
S Console, M Macrì - Rend. Semin. Mat. Univ. Politec. Torino, 2016 - researchgate.net
We construct lattices on six-dimensional non-completely solvable almost abelian Lie groups,
for which the Mostow condition does not hold. For the corresponding compact quotients, we …
for which the Mostow condition does not hold. For the corresponding compact quotients, we …
Compact solvmanifolds with calibrated and cocalibrated -structures
V Manero - manuscripta mathematica, 2020 - Springer
We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed
and coclosed G _2 G 2-structures starting from 6-dimensional solvable Lie algebras with …
and coclosed G _2 G 2-structures starting from 6-dimensional solvable Lie algebras with …
Special solutions to the Type IIA flow
A Raffero - arXiv preprint arXiv:2107.12264, 2021 - arxiv.org
We consider the source-free Type IIA flow introduced by Fei-Phong-Picard-Zhang, and we
study it in the case where the relevant geometric datum is a symplectic half-flat SU (3) …
study it in the case where the relevant geometric datum is a symplectic half-flat SU (3) …
The Geometry of Three-Forms on Symplectic Six-Manifolds
T Fei - arXiv preprint arXiv:2405.04827, 2024 - arxiv.org
In this paper, we investigate the geometry associated with 3-forms of various orbital type on
a symplectic 6-manifold. We show that there are extremely rich geometric structures …
a symplectic 6-manifold. We show that there are extremely rich geometric structures …
Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
S Console, M Macrì - arXiv preprint arXiv:1206.5977, 2012 - arxiv.org
We construct lattices on six dimensional not completely solvable almost abelian Lie groups,
for which the Mostow condition does not hold. For the corresponding compact quotients, we …
for which the Mostow condition does not hold. For the corresponding compact quotients, we …
Homogeneous symplectic half-flat 6-manifolds
F Podestà, A Raffero - Annals of Global Analysis and Geometry, 2019 - Springer
We consider 6-manifolds endowed with a symplectic half-flat SU (3)-structure and acted on
by a transitive Lie group G of automorphisms. We review a classical result of Wolf and Gray …
by a transitive Lie group G of automorphisms. We review a classical result of Wolf and Gray …