Zhuo ChenTsinghua UniversityAnna FinoDipartimento di Matematica G.Peano, Università degli Studi diTorinoYat-Sun PoonUniversity of California at Riverside
Differential Geometrymathscidoc:1803.10005
Differential Geometry and its Applications, 44, 144-160, 2016.6
We prove that on any compact complex manifold one can find Gauduchon metrics with prescribed volume form. This is equivalent to prescribing the Chern–Ricci curvature of the metrics, and thus solves a conjecture of Gauduchon from 1984.
Androulidakis I, Zambon M. Holonomy transformations for singular foliations[J]. Advances in Mathematics, 2012, 256(1): 348-397.
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Mărcuţ I. Rigidity around Poisson submanifolds[J]. Acta Mathematica, 2014, 213(1): 137-198.
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Crainic M, Marcut I. Reeb-Thurston stability for symplectic foliations[J]. Mathematische Annalen, 2013: 217-235.
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Ioan Marcut. Formal equivalence of Poisson structures around Poisson submanifolds. 2012.
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Jose A Vallejo Yand Yurii Vorobiev Z. Symmetry, Integrability and Geometry: Methods and Applications SIGMA 10 (2014), 096, 20 pages Invariant Poisson Realizations and the Averaging of Dirac S…. 2014.
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Jose A Vallejo · Yurii Vorobiev. Invariant Poisson Realizations and the Averaging of Dirac Structures. 2014.
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Rui Loja Fernandes. Normal Forms and Lie Groupoid Theory. 2014.
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant
geometry), which is also a generalization of Conn’s linearization theorem.