3 problems

Improved symmetry-rank conjecture for positive quaternionic Kähler manifolds of odd quaternionic dimension
Let $M$ be a positive quaternionic Kähler manifold of dimension $8m+4$ , and let $\operatorname{rank}(M)$ denote the rank of its isometry group. Improved symmetry-rank conjecture. I…
openFrom papersquaternionic-kaehler-geometry riemannian-geometry symmetry-rank
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3
Maximal symmetry rank conjecture for non-negatively curved manifolds
Let $T^k$ act isometrically and effectively on $M^n$ , where $M^n$ is a closed, simply connected, non-negatively curved Riemannian manifold. Define … where $n_i\geq 2$ ,…
openFrom papersnonnegative-curvature symmetry-rank transformation-groups
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3
The maximal symmetry rank conjecture
Maximal symmetry rank conjecture. One has
openFrom papersnonnegative-curvature symmetry-rank torus-actions
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9

Improved symmetry-rank conjecture for positive quaternionic Kähler manifolds of odd quaternionic dimension