On a class of twistorial maps
| dc.creator | Pantilie, Radu | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:42Z | |
| dc.date.available | 2026-07-07T07:46:42Z | |
| dc.description | We show that a natural class of twistorial maps gives a pattern for apparently different geometric maps, such as, $(1,1)$-geodesic immersions from $(1,2)$-symplectic almost Hermitian manifolds and pseudo horizontally conformal submersions with totally geodesic fibres for which the associated almost CR-structure is integrable. Along the way, we construct for each constant curvature Riemannian manifold $(M,g)$, of dimension $m$, a family of twistor spaces $\bigl\{Z_r(M)\bigr\}_{1\leq r<\tfrac12m}$ such that $Z_r(M)$ parametrizes naturally the set of pairs $(P,J)$, where $P$ is a totally geodesic submanifold of $(M,g)$, of codimension $2r$, and $J$ is an orthogonal complex structure on the normal bundle of $P$ which is parallel with respect to the normal connection. | |
| dc.description | Preprint, I.M.A.R., 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0702385 | |
| dc.identifier | http://arxiv.org/abs/math/0702385 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123914 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C43; 53C28 | |
| dc.title | On a class of twistorial maps | |
| dc.type | text |