Results 91 to 100 of about 796 (142)
Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]
J Geom Anal, 2022 Haller S.
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Compact homogeneous Leviflat CR-manifolds. [PDF]
Complex Analysis Synerg, 2021 Al-Abdallah AR, Gilligan B.
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Abelian complex structures on 6-dimensional compact nilmanifolds [PDF]
, 2002 summary:We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, and for any such complex structure $J$ we describe the space of symplectic forms which are compatible with $J$
Fernández, Marisa +2 more
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Balanced hermitian geometry on 6-dimensional nilmanifolds [PDF]
, 2015 The invariant balanced Hermitian geometry of nilmanifolds of dimension 6 is described. We prove that the (restricted) holonomy group of the associated Bismut connection reduces to a proper subgroup of SU(3) if and only if the complex structure is abelian.
Ugarte, L., Villacampa, R.
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The Lalonde–McDuff conjecture for nilmanifolds
Differential Geometry and its Applications, 2008 We prove that any Hamiltonian bundle whose fiber is a nilmanifold c-splits.
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There are only finitely many infra-nilmanifolds under each nilmanifold: a new proof
Indagationes Mathematicae, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dekimpe, Karel +2 more
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Cohomological decomposition of complex nilmanifolds [PDF]
, 2015 We study pureness and fullness of invariant complex structures on nilmanifolds. We prove that in dimension six, apart from the complex torus, there exist only two non-isomorphic complex structures satisfying both properties, which live on the real ...
Latorre, Adela, Ugarte, Luis
core
Compact nilmanifold extensions of ergodic actions [PDF]
Transactions of the American Mathematical Society, 1976 We study extensions of dymanical systems defined by co-cycles into nilpotent Lie groups.
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Abelian hypercomplex 8-dimensional nilmanifolds [PDF]
, 2000 We study invariant Abelian hypercomplex structures on 8-dimensional nilpotent Lie groups. We prove that a group N admitting such a structure is either Abelian or an Abelian extension of a group of type H.
Fino, Anna, Dotti, Isabel Graciela
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Some Remarks on Existence of a Complex Structure on the Compact Six Sphere
AxiomsThe existence or nonexistence of a complex structure on a differential manifold is a central problem in differential geometry. In particular, this problem on S6 was a long-standing unsolved problem, and differential geometry is an important tool ...
Daniel Guan, Na Li, Zhonghua Wang
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