On Lefschetz formulas for flows on foliated manifolds

Kordyukov, Yuri A.; Pavlenko, V. A.

doi:10.13108/2015-7-2-71

Ufimskii Matematicheskii Zhurnal

2015

DOI: 10.13108/2015-7-2-71

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On Lefschetz formulas for flows on foliated manifolds

Yuri A. Kordyukov¹,

V. A. Pavlenko²

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2024

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Cited by 2 publications

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“…But now the operators P u,f are not of trace class because M is not compact. So additional tools will be used in [7] to define and study L dis,J (φ) (see also [34]).…”

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confidence: 99%

Riemannian foliations of bounded geometry

López

Kordyukov

Leichtnam

2014

Mathematische Nachrichten

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Abstract. Continuing the study of bounded geometry for Riemannian foliations, begun by Sanguiao, we introduce a chart-free definition of this concept. Our main theorem states that it is equivalent to a condition involving certain normal foliation charts. For this type of charts, it is also shown that the derivatives of the changes of coordinates are uniformly bounded, and there are nice partitions of unity. Applications to a trace formula for foliated flows will given in a forthcoming paper.

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“…But now the operators P u,f are not of trace class because M is not compact. So additional tools will be used in [7] to define and study L dis,J (φ) (see also [34]).…”

mentioning

confidence: 99%

Riemannian foliations of bounded geometry

López

Kordyukov

Leichtnam

2014

Mathematische Nachrichten

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The higher fixed point theorem for foliations: applications to rigidity and integrality

Benameur,

Heitsch

2024

Ann. Funct. Anal.

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On Lefschetz formulas for flows on foliated manifolds

Cited by 2 publications

References 0 publications

Riemannian foliations of bounded geometry

Riemannian foliations of bounded geometry

The higher fixed point theorem for foliations: applications to rigidity and integrality

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