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Your search keyword '"Samani, Elahe Khalili"' showing total 3 results
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3 results on '"Samani, Elahe Khalili"'

1. On the topology of leaves of singular Riemannian foliations.

Author

Radeschi, Marco and Samani, Elahe Khalili

Subjects
NILPOTENT groups, TOPOLOGY, NILPOTENT Lie groups, FOLIATIONS (Mathematics)
Abstract

In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation .M;F /. If M is simply connected, we prove that the leaves are finitely covered by nilpotent spaces, and characterize the fundamental group of the generic leaves. If M has virtually nilpotent fundamental group, we prove that the leaves have virtually nilpotent fundamental group as well. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Positive curvature and discrete abelian symmetry

Author

Kennard, Lee, Samani, Elahe Khalili, and Searle, Catherine

Subjects
Mathematics - Differential Geometry, 53C21, 20K01, Differential Geometry (math.DG), FOS: Mathematics, Mathematics::Geometric Topology, Mathematics::Symplectic Geometry
Abstract

By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for positively curved manifolds with an isometric torus action.

Published
2021

3. Obstructions to free actions on Bazaikin spaces

Author

Samani, Elahe Khalili

Subjects
Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, Mathematics::Differential Geometry, Mathematics::Geometric Topology, Mathematics::Symplectic Geometry, 53C20, 57S15
Abstract

Apart from spheres and an infinite family of manifolds in dimension seven, Bazaikin spaces are the only known examples of simply connected Riemannian manifolds with positive sectional curvature in odd dimensions. We consider positively curved Riemannian manifolds whose universal covers have the same cohomology as Bazaikin spaces and prove structural results for the fundamental group in the presence of torus symmetry, Improved the presentation, simplified proofs and reformulated Lemma 4.1

Published
2019

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