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pro vyhledávání: '"Cabrera, F. Martin"'
The structure of nearly K\"ahler manifolds was studied by Gray in several papers. More recently, a relevant progress on the subject has been done by Nagy. Among other results, he proved that a strict and complete nearly K\"ahler manifold is locally a
Externí odkaz:
http://arxiv.org/abs/1006.2636
We prove that a 2n-dimensional compact homogeneous nearly Kahler manifold with strictly positive sectional curvature is isometric to CP^{n}, equipped with the symmetric Fubini-Study metric or with the standard Sp(m)-homogeneous metric, n =2m-1, or to
Externí odkaz:
http://arxiv.org/abs/0904.0572
We consider the energy functional on the space of sections of a sphere bundle over a Riemannian manifold (M, <,>) equipped with the Sasaki metric and we discuss the characterising condition for critical points. Likewise, we provide a useful method fo
Externí odkaz:
http://arxiv.org/abs/0711.3703
For closed and connected subgroups G of SO(n), we study the energy functional on the space of G-structures of a (compact) Riemannian manifold M, where G-structures are considered as sections of the quotient bundle O(M)/G. Then, we deduce the correspo
Externí odkaz:
http://arxiv.org/abs/0706.0116
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2005 Jan 01. 35(6), 1953-1979.
Externí odkaz:
https://www.jstor.org/stable/44238789
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