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• W101216498 abstract "KEN RICHARDSONAbstract. In this note, we discuss Riemannian foliations, which are smooth foliations thathave a transverse geometric structure. We explain a known generalization of Dirac-typeoperators to transverse operators called “basic Dirac operators” on Riemannian foliations,which require the additional structure of what is called a bundle-like metric. We explainthe result in [10] that the spectrum of such an operator is independent of the choice ofbundle-like metric, provided that the transverse geometric structure is fixed. We discussconsequences, which include defining a new version of the exterior derivative and de Rhamcohomology that are nicely adapted to this transverse geometric setting." @default.
• W101216498 created "2016-06-24" @default.
• W101216498 creator A5035606784 @default.
• W101216498 date "2009-08-31" @default.
• W101216498 modified "2023-09-27" @default.
• W101216498 title "THE SPECTRUM OF BASIC DIRAC OPERATORS" @default.
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• W101216498 hasPublicationYear "2009" @default.
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