International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 1, Pages 137-140
doi:10.1155/S0161171278000174
Maps of manifolds with indefinite metrics preserving certain geometrical entities
R.S. Kulkarni
Department of Mathematics, Indiana University, Bloomington 47401, Indiana, USA
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.