On almost complex structures on six-dimensional products of spheres

DOI10.1007/s10958-020-04712-5zbMath1447.53030OpenAlexW3006430473MaRDI QIDQ2199410

N. A. Daurtseva, Nicolai Konstantinovich Smolentsev

Publication date: 17 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04712-5

zbMATH Keywords

complex structureproduct of spheresoctave algebraalmost complex Cayley structure

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Related Items (1)

Degenerate multilinear forms and Hermitian and para-Hermitian structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integrability of an almost complex structure on a strictly nearly Kähler 6-manifold
• Submanifolds and special structures on the octonians
• Twistor spaces
• \(U(n + 1) \times U(p + 1)\)-Hermitian metrics on the manifold \(S^{2 n +1} \times S^{2 p +1}\)
• Nonexistence of almost complex structures on products of even-dimensional spheres
• An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry
• Almost complex submanifolds of a 6-dimensional sphere
• Calibrated geometries
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Hermitian geometry of six-dimensional symmetric submanifolds of Cayley algebra
• The canonical bundle of a Hermitian manifold
• The geometry of three-forms in six dimensions.
• Nearly Kähler geometry and Riemannian foliations.
• Spaces of Riemannian metrics
• Complex and CR-structures on compact Lie groups associated to Abelian actions
• Extrinsic homogeneous almost Hermitian 6-dimensional submanifolds in the octonions
• Classification des variété Classification of homogeneous nearly Kähler manifolds approximativement Kähleriennes homogénes
• Integrability condition on an almost complex structure and its application
• Weak holonomy groups
• On the manifold of almost complex structures
• A class of compact, complex manifolds which are not algebraic
• Erratum: “Complex structure on the six dimensional sphere from a spontaneous symmetry breaking” [J. Math. Phys. 56, 043508 (2015)]
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• CURVATURE AND INTEGRABILITY OF AN ALMOST HERMITIAN STRUCTURE
• Invariant complex structures on reductive Lie groups.
• Orthogonal Complex Structures on S 6
• ORTHOGONAL ALMOST COMPLEX STRUCTURES ON THE RIEMANNIAN PRODUCTS OF EVEN-DIMENSIONAL ROUND SPHERES
• Vector Cross Products on Manifolds
• Groupes de Lie et Puissances Reduites de Steenrod
• Closed Manifolds with Homogeneous Complex Structure
• Symplectic twistor spaces

This page was built for publication: On almost complex structures on six-dimensional products of spheres