C
Cédric Oms
Researcher at Polytechnic University of Catalonia
Publications - 10
Citations - 67
Cédric Oms is an academic researcher from Polytechnic University of Catalonia. The author has contributed to research in topics: Hypersurface & Weinstein conjecture. The author has an hindex of 4, co-authored 7 publications receiving 35 citations.
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The geometry and topology of contact structures with singularities
Eva Miranda Galcerán,Cédric Oms +1 more
TL;DR: In this article, singular contact structures are determined by the kernel of non-smooth differential forms, called $b^m$-contact forms, having an associated critical hypersurface.
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The singular Weinstein conjecture
TL;DR: In this paper, it was shown that the dynamics on positive energy level-sets in the restricted planar circular three body problem are described by the Reeb vector field of a b 3 -contact form that admits an infinite number of periodic orbits at the critical set.
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An Invitation to Singular Symplectic Geometry
TL;DR: In this paper, a collection of motivating examples to consider $b^m$-symplectic forms and folded-type symplectic structures is presented, and models in Celestial Mechanics are provided for every $b+m$ -symmlectic structure.
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Contact structures with singularities
Eva Miranda Galcerán,Cédric Oms +1 more
TL;DR: In this article, the authors study singular contact structures, which are tangent to a given smooth hypersurface and satisfy certain transversality conditions, and prove that convex hypersurfaces can be realized as critical set of such contact structures.
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On the singular Weinstein conjecture and the existence of escape orbits for $b$-Beltrami fields
TL;DR: In this paper, the existence of heteroclinic-like orbits in a neighbourhood of the critical set of a $b$-contact form was investigated by using the singular counterpart of Etnyre-Ghrist's contact/Beltrami correspondence.