DIRAC OPERATORS ON LIE ALGEBROIDS

Arezo Tarviji, Morteza Mirmohammad Rezaei

DOI Number
https://doi.org/10.22190/FUMI2004983T
First page
983
Last page
993

Abstract


We compare the Dirac operator on transitive Riemannian Lie algebroid equipped by spin or complex spin structure with the one defined on to its base manifold‎. Consequently we derive upper eigenvalue bounds of Dirac operator on base manifold of spin Lie algebroid twisted with the spinor bundle of kernel bundle‎.

Keywords

Riemannian Lie algebroid; Dirac operator; eigenvalue bounds.

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References


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DOI: https://doi.org/10.22190/FUMI2004983T

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