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Displaying 21 – 40 of 47

The intrinsic torsion of almost quaternion-Hermitian manifolds

Francisco Martín Cabrera, Andrew Swann (2008)

Annales de l’institut Fourier

We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion...

The Legendre transformation

W. M. Tulczyjew (1977)

Annales de l'I.H.P. Physique théorique

The Lie structure of C* and Poisson algebras

Janusz Grabowski (1985)

Studia Mathematica

The (psi,xi,eta,g) Subspaces of the Space with the Phi(4,-2) Structure

Jovanka Nikić (1983)

Publications de l'Institut Mathématique

The relation between the associate almost complex structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan connections.

Esrafilian, Ebrahim, Salimi Moghaddam, Hamid Reza (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

The Scalar Curvature of the Tangent Bundle of a Finsler Manifold

Aurel Bejancu, Hani Reda Farran (2011)

Publications de l'Institut Mathématique

The Seiberg-Witten invariants of symplectic four-manifolds

Dieter Kotschick (1995/1996)

Séminaire Bourbaki

The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on $S^{1} \times B^{3}$ .

Taubes, Clifford Henry (1998)

Geometry & Topology

The Structure on a Subspace of a Space with an F(3,-1)-structure

Jovanka Nikić (1986)

Publications de l'Institut Mathématique

The structure on a subspace of a space with an f(3,-1)-structure.

Nikić, Jovanka (1986)

Publications de l'Institut Mathématique. Nouvelle Série

The Tanaka-Webster connection for almost $𝒮$ -manifolds and Cartan geometry

Antonio Lotta, Anna Maria Pastore (2004)

Archivum Mathematicum

We prove that a CR-integrable almost $𝒮$ -manifold admits a canonical linear connection, which is a natural generalization of the Tanaka–Webster connection of a pseudo-hermitian structure on a strongly pseudoconvex CR manifold of hypersurface type. Hence a CR-integrable almost $𝒮$ -structure on a manifold is canonically interpreted as a reductive Cartan geometry, which is torsion free if and only if the almost $𝒮$ -structure is normal. Contrary to the CR-codimension one case, we exhibit examples of non normal...

The tangent bundle of an almost-complex free loopspace.

Morava, Jack (2003)

Homology, Homotopy and Applications

The Torsion Tensor on Manifolds with r-Tangent Structure

Andreas Petrakis (1980)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The ( $ψ$ , $ξ$ , $η$ ,ḡ) structure on subspaces of the space with the $φ$ (4,-2) structure.

Nikić, Jovanka (1983)

Publications de l'Institut Mathématique. Nouvelle Série

TheStructure of Nearly Kähler Manifolds.

Alfred Gray (1976)

Mathematische Annalen

Three-dimensional locally symmetric almost Kenmotsu manifolds

Yaning Wang (2016)

Annales Polonici Mathematici

We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.

Tight contact structures and taut foliations.

Honda, Ko, Kazez, William H., Matić, Gordana (2000)

Geometry & Topology

Topologie de contact en dimension 3

Emmanuel Giroux (1992/1993)

Séminaire Bourbaki

Topologie symplectique, convexité holomorphe et structures de contact

Daniel Bennequin (1989/1990)

Séminaire Bourbaki

Toric Hermitian surfaces and almost Kähler structures

Włodzimierz Jelonek (2007)

Annales Polonici Mathematici

The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that $(U, g_{| U})$ is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation is a...

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