Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Krishnan, Anusha"'
Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the c
Externí odkaz:
http://arxiv.org/abs/2312.01469
Autor:
Krishnan, Anusha M., Wiemeler, Michael
We show that ten-dimensional closed simply connected positively curved manifolds with isometric effective actions of three-dimensional tori are homotopy spheres or homotopy complex projective spaces.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2310.12689
Publikováno v:
Calc. Var. Partial Differential Equations 62 (2023), no. 1, Paper No. 13
We find examples of cohomogeneity one metrics on $S^4$ and $\mathbb C P^2$ with positive sectional curvature that lose this property when evolved via Ricci flow. These metrics are arbitrarily small perturbations of Grove--Ziller metrics with flat pla
Externí odkaz:
http://arxiv.org/abs/2112.13291
We prove an existence result for the prescribed Ricci curvature equation for certain doubly warped product metrics on $\mathbb{S}^{d_1+1}\times \mathbb{S}^{d_2}$, where $d_i \geq 2$. If $T$ is a metric satisfying certain curvature assumptions, we sho
Externí odkaz:
http://arxiv.org/abs/2010.05118
Autor:
Krishnan, Anusha
Obligate nursery pollination mutualisms such as the fig–fig wasp system, with their central plant–pollinator mutualism associated with non-pollinating satellite wasp species, can function as closed system microcosms representative of tritrophic c
Externí odkaz:
http://etd.iisc.ernet.in/2005/3501
http://etd.iisc.ernet.in/abstracts/4368/G26631-Abs.pdf
http://etd.iisc.ernet.in/abstracts/4368/G26631-Abs.pdf
Autor:
Krishnan, Anusha M.
Publikováno v:
J. Geom. Anal. 31 (2021), no. 6, 5638-5658
We show that a basis of a semisimple Lie algebra of compact type, for which any diagonal left-invariant metric has a diagonal Ricci tensor, is characterized by the Lie algebraic condition of being "nice". Namely, the bracket of any two basis elements
Externí odkaz:
http://arxiv.org/abs/1912.12686
Autor:
DeTurck, Dennis, Elsaify, Amora, Gluck, Herman, Grossmann, Benjamin, Hoisington, Joseph, Krishnan, Anusha M., Zhang, Jianru
Our goal here is to see the space of matrices of a given size from a geometric and topological perspective, with emphasis on the families of various ranks and how they fit together. We pay special attention to the nearest orthogonal neighbor and near
Externí odkaz:
http://arxiv.org/abs/1702.02131
Publikováno v:
Comm. Anal. Geom. 27 (2019), no. 3, 511-527
We exhibit the first examples of closed 4-manifolds with nonnegative sectional curvature that lose this property when evolved via Ricci flow.
Comment: LaTeX2e, 11 pages, 2 figures, final version. To appear in Comm. Anal. Geom
Comment: LaTeX2e, 11 pages, 2 figures, final version. To appear in Comm. Anal. Geom
Externí odkaz:
http://arxiv.org/abs/1606.00778
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