Low-dimensional manifolds with non-negative curvature and maximal symmetry rank

Fernando Galaz-Garcia; Catherine Searle

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arXiv · 1207.6173

Low-dimensional manifolds with non-negative curvature and maximal symmetry rank

Fernando Galaz-Garcia·Catherine Searle

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Abstract

We classify closed, simply connected $n$-manifolds of non-negative sectional curvature admitting an isometric torus action of maximal symmetry rank in dimensions $2\leq n\leq 6$. In dimensions $3k$, $k=1,2$ there is only one such manifold and it is diffeomorphic to the product of $k$ copies of the 3-sphere.

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BibTeX RIS

Fernando Galaz-Garcia, Catherine Searle. 2012-07-26. Low-dimensional manifolds with non-negative curvature and maximal symmetry rank. https://arxiv.org/abs/1207.6173

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