Kaluza-Klein theory is developed starting from the simplest example in which a single extra
spatial dimension is compactified to a circle, and a single Abelian gauge field emerges in …

The techniques of harmonic analysis of homogeneous spaces are reviewed, and applied to
the theory of propagators. The spectral geometry of homogeneous and, in particular, of …

This book is the result of several years of work by the authors on different aspects of zeta
functions and related topics. The aim is twofold. On one hand, a considerable number of …

The heat kernel K (x, x′, t) of the iterated Dirac operator on an N-dimensional simply
connected maximally symmetric Riemannian manifold is calculated. On the odd-dimesional …

(Non-)unitarity of strictly and partially massless fermions on de Sitter space II: an
explanation based on the group-theoretic properties of the spin-3/2 and spin-5/2 …

Physical phenomena in the Riemannian space of arbitrary dimensionality D= D′+ 1 (D′=
integer) are analyzed. It is noted, that with the dimensionality of physical space of the …

We discuss possibilities of obtaining chiral four-dimensional fermions from dimensional
reduction of pure higher dimensional gravity. We explore a modification of riemannian …

The present status of the Kaluza‐Klein idea is reviewed, including a discussion of the
fermionic sector. Formalism and geometrical methods necessary for the formulation of high …

The divergence-free and gamma-traceless vector-spinor eigenfunctions, as well as the
divergence-free and gamma-traceless rank-2 symmetric tensor-spinor eigenfunctions, of the …

A pure Kaluza–Klein theory contains no massless fermion in four‐dimensional theory. We
investigate the effect of introducing torsion on the internal manifold and find that there are …