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Surfaces with prescribed Weingarten operator

Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)

Banach Center Publications

We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.

Symmetric twofold CR submanifolds in a Euclidean space $R^{4 m}$

Minoru Kobayashi (1987)

Colloquium Mathematicae

Symmetrie Submanifolds of Euclidean Space.

Dirk Ferus (1980)

Mathematische Annalen

Symmetrie Submanifolds of Riemannian Manifolds.

Wolf Strübing (1979)

Mathematische Annalen

Symplectic subvarieties of projective fibrations over symplectic manifolds

Roberto Paoletti (1999)

Annales de l'institut Fourier

Given a symplectic fibration $E \to M$ , with $M$ compact and symplectic and the fibres complex projective, we produce symplectic submanifolds of $E$ analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.