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Properties of the nearly Kähler S3× S3
M Moruz, L Vrancken - Publications de l'Institut Mathematique, 2018 - doiserbia.nb.rs
We show how the metric, the almost complex structure and the almost product structure of
the homogeneous nearly Kahler S3× S3 can be recovered from a submersion π: S3× S3× …
the homogeneous nearly Kahler S3× S3 can be recovered from a submersion π: S3× S3× …
Locally homogeneous nearly Kähler manifolds
V Cortés, JJ Vásquez - Annals of Global Analysis and Geometry, 2015 - Springer
We construct locally homogeneous six-dimensional nearly Kähler manifolds as quotients of
homogeneous nearly Kähler manifolds M by freely acting finite subgroups of Aut _0 (M) Aut …
homogeneous nearly Kähler manifolds M by freely acting finite subgroups of Aut _0 (M) Aut …
[HTML][HTML] Special Lagrangians in nearly Kähler CP3
This article explores special Lagrangian submanifolds in CP 3, viewed as a nearly Kähler
manifold, from two different perspectives. Intrinsically, using a moving frame set-up, and …
manifold, from two different perspectives. Intrinsically, using a moving frame set-up, and …
Cyclic homogeneous Riemannian manifolds
Some characterizations and properties of cyclic and traceless cyclic homogeneous
Riemannian manifolds are given. The classification of simply connected cyclic …
Riemannian manifolds are given. The classification of simply connected cyclic …
[HTML][HTML] Nearly Kähler six-manifolds with two-torus symmetry
We consider nearly Kähler-manifolds with effective 2-torus symmetry. The multi-moment
map for the T 2-action becomes an eigenfunction of the Laplace operator. At regular values …
map for the T 2-action becomes an eigenfunction of the Laplace operator. At regular values …
Harmonicity and minimality of distributions on Riemannian manifolds via the intrinsic torsion
JC González-Dávila - Revista Matemática Iberoamericana, 2014 - ems.press
We consider a q-dimensional distribution as a section of the Grassmannian bundle Gq (Mn)
of q-planes and we derive, in terms of the intrinsic torsion of the corresponding S (O (q)× O …
of q-planes and we derive, in terms of the intrinsic torsion of the corresponding S (O (q)× O …
3-symmetric spaces, Ricci solitons, and homogeneous structures
The full classification of Riemannian $3 $-symmetric spaces is presented. Up to Riemannian
products the main building blocks consist in (possibly symmetric) spaces with semisimple …
products the main building blocks consist in (possibly symmetric) spaces with semisimple …
Quaternion-K\" ahler manifolds with non-negative quaternionic sectional curvature
Compact Hermitian symmetric spaces are K\" ahler manifolds with constant scalar curvature
and non-negative sectional curvature. A famous result by A. Gray states that, conversely, a …
and non-negative sectional curvature. A famous result by A. Gray states that, conversely, a …
[HTML][HTML] Pseudo-holomorphic curves in nearly Kähler manifolds
We study pseudo-holomorphic curves in general nearly Kähler manifolds. For that purpose,
we first introduce the fundamental equations of submanifold geometry in terms of the …
we first introduce the fundamental equations of submanifold geometry in terms of the …
Invariant Ricci-flat metrics of cohomogeneity one with Wallach spaces as principal orbits
We construct a continuous 1-parameter family of smooth complete Ricci-flat metrics of
cohomogeneity one on vector bundles over CP^ 2 CP 2, HP^ 2 HP 2 and OP^ 2 OP 2 with …
cohomogeneity one on vector bundles over CP^ 2 CP 2, HP^ 2 HP 2 and OP^ 2 OP 2 with …