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Showing 1 to 9 of 9 for “"Contact Manifolds"”.
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Contact Manifolds of Positive Curvature
Made available in DSpace on 2014-12-09T22:17:31Z (GMT). No. of bitstreams: 1 6612391.pdf: 1956645 bytes, checksum: e7daa62333d2b1487fa61b2cc8edc00c (MD5) Previous issue date: 1966
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Equivariant Index on Toric Contact Manifolds
Let (M, D, G) be a (2n + 1)-dimensional toric contact manifold of Reeb type with moment cone C, where n > 1. There exists a G-invariant Sasakian 1-form on M such that D = ker α. This structure allows us to define the horizontal Dolbeault operator on M and more generally the horizontal Dolbeault …
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Getting a handle on contact manifolds
… we develop the details of a surgery theory for contact manifolds of arbitrary dimension via convex structures, extending the 3-dimensional theory developed by Giroux. The theory is analogous to that of Weinstein manifolds in symplectic geometry, with the key difference that the vector field does …
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Group Actions on Contact Manifolds and Reduction
… propose a new method for reducing a co-oriented contact manifold M by the action of a Lie group G by contactomorphisms. With a regularity and integrality assumption on mu ∈ g* the contact quotient Mmu, is naturally a co-oriented contact manifold which is independent of the choice of contact …
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Ozsva?th-Szabo? invariants of contact surgeries
In this thesis, I am going to deal with contact manifolds of dimension three: these are orientable manifolds with a plane field that is nowhere tangent to a surface. Contact manifolds split into two families, the overtwisted ones and the tight ones, according to the presence or absence of a certain …
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Orderability and rigidity in contact geometry
<p>We study the existence of positive loops of contactomorphisms on a Liouville-fillable contact manifold (&Sgr;, ξ = ker(α)). Previous results (see [1]) show that a large class of Liouville-fillable contact manifolds admit contractible positive loops. In contrast, we show that for any …
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A Product Structure on Generating Family Cohomology for Legendrian Submanifolds
… way to obtain invariants of some Legendrian submanifolds in the standard contact manifolds of 1-jet spaces, J1M, is through the Morse theoretic technique of generating families. This dissertation extends the elective but not complete invariant of generating family cohomology by giving it a …
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Functional inequalities and the curvature dimension inequality on totally geodesic foliations
… one forms. Our framework includes CR Sasakian manifolds with Tanaka-Webster (or pseudo-Hermitian) Ricci tensor bounds, K-contact manifolds, and Carnot group of step 2.</p>
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Microlocal analysis of asymptotically complex hyperbolic manifolds and their conformal contact boundaries
… a study of asymptotically complex hyperbolic manifolds and their natural conformal boundaries, compact CR contact manifolds, using the tools of microlocal analysis in the broad sense. In the first chapter, we study the behavior of the heat kernel of the Hodge Laplacian on a contact manifold …