Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Pantilie P"'
Autor:
Pantilie, Radu
We give the necessary and sufficient conditions for the Penrose-Ward transformation to work on almost $G_2$-manifolds, endowed with natural almost twistorial structures.
Comment: Preprint, IMAR, 2021
Comment: Preprint, IMAR, 2021
Externí odkaz:
http://arxiv.org/abs/2107.08507
Autor:
Pantilie, Radu
We study the geometry induced on the local orbit spaces of Killing vector fields on (Riemannian) $G$-manifolds, with an emphasis on the cases $G={\rm Spin}(7)$ and $G=G_2$. Along the way, we classify the harmonic morphisms with one-dimensional fibres
Externí odkaz:
http://arxiv.org/abs/2105.07177
Autor:
Pantilie, Radu
We show that the $G_2$-manifolds and certain ${\rm Spin}(7)$-manifolds are endowed with natural Riemannian twistorial structures. Along the way, the exceptional holonomy representations are reviewed and other related facts are considered.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1911.10860
Autor:
Pantilie, Radu
We introduce the notion of tame $\rho$-quaternionic manifold that permits the construction of a finite family of $\rho$-connections, significant for the geometry involved. This provides, for example, the following: (1) a new simple global characteris
Externí odkaz:
http://arxiv.org/abs/1901.05072
We introduce the notion of Riemannian twistorial structure and we show that it provides new natural constructions of harmonic maps.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1804.05423
Autor:
Pantilie, Radu
We review some basic facts on vector fields, in the complex-analytic setting, thus, obtaining a rationality result and an extension of the Birkhoff-Grothendieck theorem, as follows: (1) Let $Z$ be a compact complex manifold endowed with a very ample
Externí odkaz:
http://arxiv.org/abs/1710.10896
Autor:
Pantilie, Radu
We review the twistorial structures by providing a setting under which the corresponding (differential) geometry can be described, by involving the $\rho$-connections. This applies, for example, to give new proofs of the existence of the relevant con
Externí odkaz:
http://arxiv.org/abs/1612.07488
Autor:
Pantilie, Radu
We extend T. Y. Thomas's approach to the projective structures, over the complex analytic category, by involving the $\rho$-connections. This way, a better control of the projective flatness is obtained and, consequently, we have, for example, the fo
Externí odkaz:
http://arxiv.org/abs/1603.01711
Autor:
Pantilie, Radu
We show that, in quaternionic geometry, the Ward transform is a manifestation of the functoriality of the basic correspondence between the $\rho$-quaternionic manifolds and their twistor spaces. We apply this fact, together with the Penrose transform
Externí odkaz:
http://arxiv.org/abs/1502.06420
Autor:
Pantilie, Radu
Motivated by the quaternionic geometry corresponding to the homogeneous complex manifolds endowed with (holomorphically) embedded spheres, we introduce and initiate the study of the `quaternionic-like manifolds'. These contain, as particular subclass
Externí odkaz:
http://arxiv.org/abs/1411.4471