Abstract
On a closed, (2n + 1)-dimensional Sasakian manifold, we show that either the dimension of the 1-nullity distribution N(1) is less than or equal to n, or N(1) is the entire tangent bundle TM. In the latter case, the Sasakian manifold M is isometric to a quotient of the Euclidean sphere under a finite group of isometries.
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Rukimbira, P. (2009). The 1-Nullity of Sasakian Manifolds. In: Galicki, K., Simanca, S.R. (eds) Riemannian Topology and Geometric Structures on Manifolds. Progress in Mathematics, vol 271. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4743-8_7
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DOI: https://doi.org/10.1007/978-0-8176-4743-8_7
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