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O que (quem) é Kähler manifold - definição
Kähler manifold
SMOOTH MANIFOLD CARRYING COMPATIBLE COMPLEX, RIEMANNIAN, AND SYMPLECTIC STRUCTURES
Kähler metric; Kahler manifold; Kaehler manifold; Kähler form; Kahler form; Kähler potential; Hodge variety; Hodge metric; Kahler metric; Einstein-Kahler metric; Kahler potential; Kähler structure; Kählerian manifold; Kaehler metric; Kaehler structure; Kaehler potential; Kahlerian manifold; Kahler structure; Kaehlerian manifold; Einstein-Kaehler metric; Kähler manifolds; Hodge manifold; Kahler surface; Kaehler surface; Hodge manifolds; Special Kähler geometry; Kähler surface; Kahler metrics; Kähler geometry; Holomorphic sectional curvature
In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arnoldus Schouten and David van Dantzig in 1930, and then introduced by Erich Kähler in 1933.
Quaternion-Kähler manifold
In differential geometry, a quaternion-Kähler manifold (or quaternionic Kähler manifold) is a Riemannian 4n-manifold whose Riemannian holonomy group is a subgroup of Sp(n)·Sp(1) for some n\geq 2. Here Sp(n) is the sub-group of SO(4n) consisting of those orthogonal transformations that arise by left-multiplication by some quaternionic n \times n matrix, while the group Sp(1) = S^3 of unit-length quaternions instead acts on quaternionic n-space {\mathbb H}^n = {\mathbb R}^{4n} by right scalar multiplication.
Nearly Kähler manifold
ALMOST HERMITIAN MANIFOLD SUCH THAT THE (2,1)-TENSOR ∇J IS SKEW-SYMMETRIC, WHERE J IS THE ALMOST COMPLEX STRUCTURE
Nearly Kähler; Nearly Kahler manifold
In mathematics, a nearly Kähler manifold is an almost Hermitian manifold M, with almost complex structure J,
