EuDML | Browse

We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pm ω)$ with constant scalar curvature is either Einstein, or the dual field of $ω$ is Killing. Next, let $(M^{n}, g)$ be a complete and connected Riemannian manifold of dimension at least $3$ admitting a pair of Einstein-Weyl structures $(g, \pm ω)$ . Then the Einstein-Weyl vector field $E$ (dual to the $1$ -form $ω$ ) generates an infinitesimal harmonic transformation if and only if $E$ is Killing.

Complex structures on $S O_{g} (M)$

Tommaso Pacini (1999)

Bollettino dell'Unione Matematica Italiana

Data una varietà Riemanniana orientata $(M, g)$ , il fibrato principale $S O_{g} (M)$ di basi ortonormali positive su $(M, g)$ ha una parallelizzazione canonica dipendente dalla connessione di Levi-Civita. Questo fatto suggerisce la definizione di una classe molto naturale di strutture quasi-complesse su $(M, g)$ . Dopo le necessarie definizioni, discutiamo qui l'integrabilità di queste strutture, esprimendola in termini della struttura Riemanniana $g$ .

Complex structures on tangent bundles of Riemannian manifolds.

Róbert Szöke (1991)

Mathematische Annalen

Complex structures on the Iwasawa manifold.

Ketsetzis, Georgios, Salamon, Simon (2004)

Advances in Geometry

Conformal and related changes of metric on the product of two almost contact metric manifolds.

David E. Blair, José Antonio Oubiña (1990)

Publicacions Matemàtiques

This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.

Conformal curvature for the normal bundle of a conformal foliation

Angel Montesinos (1982)

Annales de l'institut Fourier

It is proved that the normal bundle $ℋ$ of a distribution $𝒱$ on a riemannian manifold admits a conformal curvature $C$ if and only if $𝒱$ is a conformal foliation. Then $ℋ$ is conformally flat if and only if $C$ vanishes. Also, the Pontrjagin classes of $ℋ$ can be expressed in terms of $C$ .

Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.

Gover, A.Rod (2007)

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

Conformal Infinitesimal Transformations Of Almost Paracontact Metric Structures

B. B. Sinha, R. N. Singh (1982)

Publications de l'Institut Mathématique

Conformal Killing-Yano tensors on manifolds with mixed 3-structures.

Ianus, Stere, Visinescu, Mihai, Vîlcu, Gabriel Eduard (2009)

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

Conformal vector fields on tangent bundle of Finsler manifolds.

Bidabad, Behroz (2006)

Balkan Journal of Geometry and its Applications (BJGA)

Conformally flat contact metric manifolds with $Q ξ = ϱ ξ$ .

Gouli-Andreou, Florence, Tsolakidou, Niki (2004)

Beiträge zur Algebra und Geometrie

Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity

Giovanni Calvaruso (2010)

Archivum Mathematicum

We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.

Conformally flat pseudo-symmetric spaces of constant type

Giovanni Calvaruso (2006)

Czechoslovak Mathematical Journal

We give the complete classification of conformally flat pseudo-symmetric spaces of constant type.

Conformally flat semi-symmetric spaces

Giovanni Calvaruso (2005)

Archivum Mathematicum

We obtain the complete classification of conformally flat semi-symmetric spaces.

Connections on $k$ -symplectic manifolds.

Blaga, Adara M. (2009)

Balkan Journal of Geometry and its Applications (BJGA)

Connections partially adapted to a metric $(J^{4} = 1)$ -structure

E. Reyes, A. Montesinos, P. M. Gadea (1987)

Colloquium Mathematicae

Currently displaying 121 – 140 of 729

Previous Page 7 Next