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MAPS OF MANIFOLDS WITH INDEFINITE METRICS PRESERVING CERTAIN GEOMETRICAL ENTITIES

並列摘要


It is shown that (i) a diffeomorphism of manifolds with indefinite metrics preserving degenerate r-plane sections is conformal, (ii) a sectional curvature-preserving diffeomorphism of manifolds with indefinite metrics of dimension ≥ 4 is generically an isometry.

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