Quaternionic-like manifolds and homogeneous twistor spaces
2016 ◽
Vol 472
(2196)
◽
pp. 20160598
Keyword(s):
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.
1987 ◽
pp. 78-119
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1971 ◽
Vol 29
(1)
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pp. 69-69
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1977 ◽
Vol 74
(4)
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pp. 1332-1333
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1966 ◽
Vol 56
(2)
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pp. 413-416
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Keyword(s):
1985 ◽
Vol 40
(2)
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pp. 1-35
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1970 ◽
Vol 46
(3)
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pp. 209-211
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1990 ◽
pp. 195-244
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