Maps of manifolds with indefinite metrics preserving
certain geometrical entities
R. S. Kulkarni1
Received01 Jun 1977
Abstract
It is shown that (i) a diffeomorphism of manifolds with indefinite metrics preserving degenerate r-plane sections is conformal, (ii) a sectional curvature-preservlng diffeomorphism of manifolds with indefinite metrics of dimension ≥4 is generically an isometry.