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   Articles with "compact manifolds" as a keyword



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Besse conjecture for compact manifolds with pinched curvature

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recommendations! Published in 2020 at "Archiv der Mathematik"

DOI: 10.1007/s00013-020-01463-2

Abstract: On a compact n -dimensional manifold M , it has been conjectured that a critical point of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, is… read more here.

Keywords: compact manifolds; conjecture; besse conjecture; manifolds pinched ... See more keywords
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The spectrum of simplicial volume of non-compact manifolds

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recommendations! Published in 2021 at "Geometriae Dedicata"

DOI: 10.1007/s10711-021-00647-6

Abstract: We show that, in dimension at least 4, the set of locally finite simplicial volumes of oriented connected open manifolds is $$[0,\infty ]$$ [ 0 , ∞ ] . Moreover, we consider the case of tame open… read more here.

Keywords: compact manifolds; spectrum simplicial; simplicial volume; volume non ... See more keywords
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Li–Yau gradient bounds on compact manifolds under nearly optimal curvature conditions

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recommendations! Published in 2018 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2018.02.001

Abstract: Abstract We prove Li–Yau type gradient bounds for the heat equation either on manifolds with fixed metric or under the Ricci flow. In the former case the curvature condition is | R i c −… read more here.

Keywords: yau gradient; compact manifolds; nearly optimal; bounds compact ... See more keywords
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The isometry groups of compact manifolds with almost negative Ricci curvature

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recommendations! Published in 2018 at "Tohoku Mathematical Journal"

DOI: 10.2748/tmj/1537495353

Abstract: We estimate the order of the isometry groups of compact manifolds with negative Ricci curvature in terms of geometric quantities: the sectional curvature, the Ricci curvature, the diameter, and the injectivity radius. read more here.

Keywords: compact manifolds; isometry groups; ricci curvature; groups compact ... See more keywords