Unit Killing Vector Fields on Nearly Kahler Manifolds

Abstract

We study 6-dimensional nearly Kahler manifolds admitting a Killing vector field of unit length. In the compact case it is shown that up to a finite cover there is only one geometry possible, that of the 3--symmetric space $S^3\times S^3$.

References in corpus (1)

• A splitting theorem for Kahler manifolds whose Ricci tensors have constant eigenvalues

Cited by in corpus (13)

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• The Hermitian Laplace Operator on Nearly Kähler Manifolds
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• Hodge theory on nearly Kaehler manifolds
• Modified Laplacian coflow of $G_2$-structures on manifolds with symmetry
• Non-symmetric Riemannian gravity and Sasaki-Einstein 5-manifolds
• Pseudoholomorphic curves on nearly Kahler manifolds
• Toric Nearly Kähler manifolds
• Gravity and induced matter on Nearly Kahler Manifolds
• Decomposable $(5,6)$-solutions in eleven-dimensional supergravity