A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Vector Fields Orthogonal to a Nonvanishing Infinitesimal Isometry

1979
*
Proceedings of the American Mathematical Society
*

Let A be a nonvanishing infinitesimal isometry on a compact Riemannian manifold M. If there exists a nonvanishing vector field orthogonal to X and commuting with X, then the Euler characteristic of the complex consisting of all the differential forms u satisfying i(X)u -0 -L(x)u is zero. Let A denote a nonvanishing infinitesimal isometry on a compact Riemannian manifold M". Let A(M) = {Ak(M), d)0<k<n denote the de Rham complex of M. We let /(A) denote the interior product operator, and L(A) the

doi:10.2307/2042766
fatcat:fucnw5kpdrcpbd627zfwo2kp5q