Stability of Eigenvalues and Observable Diameter in RCD(1,∞) Spaces
Stability of Eigenvalues and Observable Diameter in RCD(1,∞) Spaces
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Publisher
New York: Springer US
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Language
English
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Publisher
New York: Springer US
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Scope and Contents
Contents
We study stability of the spectral gap and observable diameter for metric measure spaces satisfying the RCD
(
1
,
∞
)
condition. We show that if such a space has an almost maximal spectral gap, then it almost contains a Gaussian component, and the Laplacian has eigenvalues that are close to any integers, with dimension-free quanti...
Alternative Titles
Full title
Stability of Eigenvalues and Observable Diameter in RCD(1,∞) Spaces
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Author / Creator
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TN_cdi_hal_primary_oai_HAL_hal_03283609v1
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03283609v1
Other Identifiers
ISSN
1050-6926
E-ISSN
1559-002X
DOI
10.1007/s12220-022-00999-9
