scholarly journals Reduction of Vaisman structures in complex and quaternionic geometry

2006 ◽  
Vol 56 (12) ◽  
pp. 2501-2522 ◽  
Author(s):  
Rosa Gini ◽  
Liviu Ornea ◽  
Maurizio Parton ◽  
Paolo Piccinni
Keyword(s):  
Quaternionic Geometry

scholarly journals Scherk–Schwarz reduction of D = 5 special and quaternionic geometry

2004 ◽  
Vol 21 (19) ◽  
pp. 4677-4695 ◽  
Author(s):  
L Andrianopoli ◽  
S Ferrara ◽  
M A Lledó
Keyword(s):  
Quaternionic Geometry

scholarly journals N= 2 Super-Higgs,N= 1 Poincaré Vacua and Quaternionic Geometry

2003 ◽  
Vol 2003 (01) ◽  
pp. 045-045 ◽  
Author(s):  
Laura Andrianopoli ◽  
Riccardo D'Auria ◽  
Sergio Ferrara ◽  
Maria A Lledó
Keyword(s):  
Quaternionic Geometry

scholarly journals Generalized planar curves and quaternionic geometry

2006 ◽  
Vol 29 (4) ◽  
pp. 343-354 ◽  
Author(s):  
Jaroslav Hrdina ◽  
Jan Slovák
Keyword(s):  
Planar Curves ◽  
Quaternionic Geometry

On the axioms of planes in quaternionic geometry

1982 ◽  
Vol 130 (1) ◽  
pp. 215-221 ◽  
Author(s):  
J. D. Pérez ◽  
F. G. Santos ◽  
F. Urbano
Keyword(s):  
Quaternionic Geometry

scholarly journals Quaternionic-like manifolds and homogeneous twistor spaces

2016 ◽  
Vol 472 (2196) ◽  
pp. 20160598
Author(s):  
Radu Pantilie
Keyword(s):  
Complex Manifolds ◽  
Twistor Spaces ◽  
Adequate Level ◽  
Homogeneous Complex ◽  
Quaternionic Manifold ◽  
Quaternionic Geometry ◽  
Real Analytic ◽  
Quaternionic Manifolds

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 subclasses, the CR quaternionic and the ρ -quaternionic manifolds. Moreover, the notion of ‘heaven space’ finds its adequate level of generality in this setting: (essentially) any real analytic quaternionic-like manifold admits a (germ) unique heaven space, which is a ρ -quaternionic manifold. We, also, give a natural construction of homogeneous complex manifolds endowed with embedded spheres, thus, emphasizing the abundance of the quaternionic-like manifolds.

scholarly journals C-projective symmetries of submanifolds in quaternionic geometry

2018 ◽  
Vol 55 (3) ◽  
pp. 395-416
Author(s):  
Aleksandra Borówka ◽  
Henrik Winther
Keyword(s):  
Quaternionic Geometry
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