Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Paolo Piccinni"'
Autor:
Maurizio Parton, Paolo Piccinni
Publikováno v:
Axioms, Vol 7, Iss 4, p 72 (2018)
Starting from the 2001 Thomas Friedrich’s work on Spin ( 9 ) , we review some interactions between Spin ( 9 ) and geometries related to octonions. Several topics are discussed in this respect: explicit descriptions of the Spin ( 9 ) canonical 8-for
Externí odkaz:
https://doaj.org/article/8d84f5f764514dc7ba56d8434f7ca1e1
During the last five years, after the first meeting on “Quaternionic Structures in Mathematics and Physics”, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of m
Autor:
Paolo Piccinni, Maurizio Parton
Publikováno v:
Complex Manifolds, Vol 6, Iss 1, Pp 138-149 (2019)
A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d1890ceb1542db9dd7a74876b7214a9
https://doi.org/10.1515/coma-2019-0007
https://doi.org/10.1515/coma-2019-0007
Autor:
Paolo Piccinni
Publikováno v:
Differential Geometry and its Applications. 59:122-137
We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the role of the octonions in them, in particular for some low dimensional examples.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ec92dda5953f26894af3a75cd61b86f
https://doi.org/10.1016/j.difgeo.2018.04.007
https://doi.org/10.1016/j.difgeo.2018.04.007
Autor:
Paolo Piccinni, Maurizio Parton
Publikováno v:
Axioms
Volume 7
Issue 4
Axioms, Vol 7, Iss 4, p 72 (2018)
Volume 7
Issue 4
Axioms, Vol 7, Iss 4, p 72 (2018)
Starting from the 2001 Thomas Friedrich's work on Spin(9), we review some interactions between Spin(9) and geometries related to octonions. Several topics are discussed in this respect: explicit descriptions of the Spin(9) canonical 8-form and its an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1394d7919e6c00088022330893f89671
Publikováno v:
Transformation Groups. 18:845-864
We deal with Riemannian properties of the octonionic Hopf fibration S15 → S8, in terms of the structure given by its symmetry group Spin(9). In particular, we show that any vertical vector field has at least one zero, thus reproving the non-existen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8ba591c9b0e841be7e1a7dca85d9243
https://doi.org/10.1007/s00031-013-9233-x
https://doi.org/10.1007/s00031-013-9233-x
Autor:
Maurizio Parton, Paolo Piccinni
Publikováno v:
Linear Algebra and its Applications. 438:1113-1131
We give an interpretation of the maximal number of linearly independent vector fields on spheres in terms of the Spin(9) representation on R^16. This casts an insight on the role of Spin(9) as a subgroup of SO(16) on the existence of vector fields on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c564fb9b2694ac955cd59233b9eac100
https://doi.org/10.1016/j.laa.2012.06.046
https://doi.org/10.1016/j.laa.2012.06.046
Autor:
Paolo Piccinni
Publikováno v:
Springer INdAM Series ISBN: 9783319675183
This is a survey on the construction of a canonical or “octonionic Kahler” 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective planes. The construction, in terms of the associated even Clifford str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0a5725a3240710bbdf5cccc5f182a86
http://hdl.handle.net/11573/953178
http://hdl.handle.net/11573/953178
Autor:
Paolo Piccinni
Publikováno v:
METRON. 69:223-226
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::398f7544f554ef4133f510f53f55cc7a
https://doi.org/10.1007/bf03263558
https://doi.org/10.1007/bf03263558