Dirac Operators Their Eigenfunctions and Heat Kernels for Two Geometries
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i2.7034Keywords:
operator, Laplace,, eigenvalue, eigenfunction, kernelAbstract
The heat kernel of the Dirac operator is obtained with respect to a particular geometry. This is done by calculating eigenfunctions of the Dirac operator on both spheres and hyperbolic spaces of arbitrary dimensions. The kernels can be studied as cross sections of homogeneous vector bundles.
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Copyright (c) 2026 Paul Bracken
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