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We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of $ℍ P^{2}$ and $ℍ H^{2}$ are hermitian.

Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics

David M J. Calderbank, Henrik Pedersen (2000)

Annales de l'institut Fourier

We study the Jones and Tod correspondence between selfdual conformal $4$ -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl $3$ -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...

Self-duality and pointwise Osserman manifolds

Dimitri V. Alekseevsky, Novica Blažić, Neda Bokan, Zoran Rakić (1999)

Archivum Mathematicum

This paper is a contribution to the mathematical modelling of the hump effect. We present a mathematical study (existence, homogenization) of a Hamilton-Jacobi problem which represents the propagation of a front flame in a striated media.

Semigroups in the simply connected covering of SL(2).

D. Mittenhuber (1993)

Semigroup forum

Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold.

Prasad, Bhagwat (1998)

Bulletin of the Malaysian Mathematical Society. Second Series

Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds

Ülo Lumiste (2003)

Czechoslovak Mathematical Journal

A Riemannian manifold is said to be semisymmetric if $R (X, Y) \cdot R = 0$ . A submanifold of Euclidean space which satisfies $\bar{R} (X, Y) \cdot h = 0$ is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played by the foliated...

We determine explicitly the local structure of a semi-symmetric $𝔓$ -space.

Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces

Marta Dabrowska, Filip Defever, Ryszard Deszcz, Dorota Kowalczyk (2000)

Publications de l'Institut Mathématique

Several cohomology algebras connected with Poisson structure.

Giunashvili, Z. (1998)

Georgian Mathematical Journal

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$S$ -metrische Zusammenhänge in isotropen Mannigfaltigkeiten. ( $S$ - metric connections in isotropic manifolds).

Scalar curvature on lightlike hypersurfaces.

Scalar differential concomitants of first order of a symmetric connexion $Γ_{j k}^{i}$ in the two-dimensional space and their applications

Schéma géométrique à tenseur impulsion-énergie asymétrique. Application à l'étude relativiste de la matière à spin

Screen conformal half-lightlike submanifolds.

Screen transversal lightlike submanifolds of indefinite cosymplectic manifolds

Second order parallel tensor in real and complex space forms.

Seiberg-Witten Theory

Selfdual Einstein hermitian four-manifolds

Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics

Self-duality and pointwise Osserman manifolds

Semigroups in the simply connected covering of SL(2).

Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold.

Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds

Semi-parallel Lightlike Hypersurfaces of Indefinite Cosymplectic Space Forms

Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square

Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.

Semi-symmetric $𝔓$ -spaces

Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces

Several cohomology algebras connected with Poisson structure.

Currently displaying 1 – 20 of 126