Results 31 to 40 of about 48,683 (227)
Ricci tensor in graded geometry
Physics Letters B, 2020 We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids.
Fridrich Valach
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Stratification of singular hyperkähler quotients
Complex Manifolds, 2022 Hyperkähler quotients by non-free actions are typically singular, but are nevertheless partitioned into smooth hyperkähler manifolds. We show that these partitions are topological stratifications, in a strong sense.
Mayrand Maxence
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Symplectic Lefschetz fibrations on S^1 x M^3
, 2000 In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold which is the product of a three-manifold with a circle. This result provides further evidence in support of the following conjecture regarding symplectic
Chen, Weimin, Matveyev, Rostislav
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Characterization of symplectic forms induced by some tangent G-structures of higher order
Extracta Mathematicae, 2021 Let (M, ω) be a symplectic manifold induced by an integrable G-structure P on M . In this paper, we characterize the symplectic manifolds induced by the tangent lifts of higher order r ≥ 1 of G-structure P, from M to TrM .
P.M. Kouotchop Wamba , G.F. Wankap Nono
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Unitary Howe dualities in fermionic and bosonic algebras and related Dirac operators
SciPost Physics Proceedings, 2023 In this paper we use the canonical complex structure $\mathbb{J}$ on $\mathbb{R}^{2n}$ to introduce a twist of the symplectic Dirac operator. This can be interpreted as the bosonic analogue of the Dirac operators on a Hermitian manifold.
Guner Muarem
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Symplectically aspherical manifolds [PDF]
Journal of Fixed Point Theory and Applications, 2008 AMSLaTeX, corrected ...
Kedra, Jarek +2 more
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Conformally symplectic structures and the Lefschetz condition
Comptes Rendus. MathématiqueThis short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally ...
Lejmi, Mehdi, Wilson, Scott O.
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Almost-complex invariants of families of six-dimensional solvmanifolds
Complex Manifolds, 2022 We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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, 1999 We introduce the notion of a special complex manifold: a complex manifold (M,J) with a flat torsionfree connection \nabla such that (\nabla J) is symmetric.
C. Devchand +8 more
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Special Symplectic Connections
, 2009 By a special symplectic connection we mean a torsion free connection which is either the Levi-Civita connection of a Bochner-K\"ahler metric of arbitrary signature, a Bochner-bi-Lagrangian connection, a connection of Ricci type or a connection with ...
Cahen, Michel, Schwachhöfer, Lorenz J.
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