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Distance-Genericity for Real Algebraic Hypersurfaces

Canadian Journal of Mathematics, 1984
One of the original applications of catastrophe theory envisaged by Thom was that of discussing the local structure of the focal set for a (generic) smooth submanifold M ⊆ Rn + 1. Thom conjectured that for a generic M there would be only finitely many local topological models, a result proved by Looijenga in [4].
Bruce, J.W., Gibson, C.G.
openaire   +3 more sources

Generalized D-Einstein real hypersurfaces with constant coefficient

Journal of Mathematical Analysis and Applications, 2022
Yaning Wang, Yingdong Zhang
semanticscholar   +1 more source

Hopf Real Hypersurfaces in the Indefinite Complex Projective Space

Mediterranean Journal of Mathematics, 2018
We wish to attack the problems that Anciaux and Panagiotidou posed in (Differ Geom Appl 42:1–14, https://doi.org/10.1016/j.difgeo.2015.05.004, 2015), for non-degenerate real hypersurfaces in indefinite complex projective space.
M. Kimura, M. Ortega
semanticscholar   +1 more source

Real Hypersurfaces in Kähler Manifolds

2014
We consider real hypersurfaces of compact Kahler manifolds and show that real hypersurfaces of Kahler manifolds induced by Morse functions have contact structures. As examples we consider preimages of regular values of Morse functions on complex projective spaces, and cosymplectic real hypersurfaces of the products of Kahler manifolds and torus.
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