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CR submanifolds of the six-sphere
, 2010 Let M be a Riemannian submanifold of the six dimensional sphere equipped with its almost complex structure J. It is natural to investigate submanifolds M according to their relations to J. If the tangent bundle of M is invariant for J, then M is an almost complex submanifold, and if J maps the tangent bundle into the corresponding normal bundle M is a ...
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Parallel submanifolds of complex projective space and their normal holonomy [PDF]
, 2009 S. CONSOLE +2 more
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THE NORMAL HOLONOMY OF CR-SUBMANIFOLDS
THE NORMAL HOLONOMY OF CR-SUBMANIFOLDSopenaire +1 more source
CR-Submanifolds of the Nearly Kähler 6-Sphere [PDF]
, 2016 There is an almost complex structure J on the sphere S6(1) defined by multiplication of the Cayley numbers. This structure is nearly Kähler. A submanifold of a manifold with an almost complex structure is CR, by Bejancu, if it has a differentiable holomorphic distribution H such that its orthogonal complement H⊥⊂TM is a totally real distribution.
Antić, Miroslava, Vrancken, Luc
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Submersions of CR Submanifolds
2016O’Neill introduced the notion of Riemannian submersions (cf. O’Neill, Mich. Math. J. 13, 459–469, 1966, [28]). For the submersion \(\pi :M\longrightarrow N\) of a CR submanifold M of a Kaehler manifold \(\bar{M}\) onto an almost Hermitian manifold N, Kobayashi (cf. Kobayashi, Tohoku Math. J.
Mohammad Hasan Shahid +2 more
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