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A construction of symplectic connections through reduction
We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic connections with Ricci type curvature, which are not locally symmetric ...
Baguis, P., Cahen, M.
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Diffeomorphisms of Stein structures
We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type condition cannot map a pseudoholomorphic disc in the boundary to a single point.
Diederich, Klas, Sukhov, Alexandre
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Four-dimensional Riemannian manifolds with two circulant structures [PDF]
We consider a class (M, g, q) of four-dimensional Riemannian manifolds M, where besides the metric g there is an additional structure q, whose fourth power is the unit matrix.
Razpopov, Dimitar
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Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]
Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form.
Teofilova, Marta
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Total reality of conormal bundles of hypersurfaces in almost complex manifolds
A generalization to the almost complex setting of a well-known result by S. Webster is given. Namely, we prove that if $\Gamma$ is a strongly pseudoconvex hypersurface in an almost complex manifold $(M, J)$, then the conormal bundle of $\Gamma$ is a ...
ANDREA SPIRO, Ishihara S.
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On a k-th Gauduchon almost Hermitian manifold
We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
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Extrinsic curvatures of distributions of arbitrary codimension
In this article, using the generalized Newton transformation, we define higher order mean curvatures of distributions of arbitrary codimension and we show that they agree with the ones from Brito and Naveira (Ann. Global Anal. Geom.
Alías +17 more
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An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
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Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold [PDF]
2000 Mathematics Subject Classification: 53C42, 53C15.In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold.
Atçeken, Mehmet
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Pseudo-holomorphic curves: A very quick overview
This is a review article on pseudo-holomorphic curves which attempts at touching all the main analytical results. The goal is to make a user friendly introduction which is accessible to those without an analytical background.
Oliveira Gonçalo
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