Riemannian Geometry of Contact and Symplectic Manifolds
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63 citations
Cites background from "Riemannian Geometry of Contact and ..."
...In this section we give a very brief review of contact geometry referring to the books [50, 12, 22, 11] for details....
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63 citations
62 citations
Cites background from "Riemannian Geometry of Contact and ..."
...1 Contact manifolds We begin by recalling fundamental ingredients of contact Riemannian geometry from [7]....
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61 citations
Cites background from "Riemannian Geometry of Contact and ..."
...[1]): θ and θ′ are equivalent if θ′ = τθ for some non-vanishing function τ ....
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...Kostant’s theorem (sometimes also attributed to Kobayashi [1] or to Souriau) says that this is possible if and only if ω is integral....
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60 citations
Cites background from "Riemannian Geometry of Contact and ..."
...The Rumin differential operator [50] is defined on a general contact manifold, but for our purposes it is sufficient to consider it only in the special case of the sphere bundle (we refer to [23] for all notions from contact geometry)....
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