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Contractible 4-ManifoldsDu, Alexandra 22 September 2022 (has links)
No description available.
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Projective embeddings of compact Kähler manifoldsLam, Wai-hung, 林偉雄 January 2004 (has links)
published_or_final_version / abstract / toc / Mathematics / Master / Master of Philosophy
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A poisson structure on the complex projective spaceChow, Shek-Hei, Alan., 周錫禧. January 2005 (has links)
published_or_final_version / abstract / Mathematics / Master / Master of Philosophy
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On some examples of Poisson homology and cohomology: analytic and lie theoretic approachesSo, Bing-kwan., 蘇鈵鈞. January 2005 (has links)
published_or_final_version / abstract / Mathematics / Master / Master of Philosophy
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Nonlinear Poisson brackets.Damianou, Pantelis Andrea. January 1989 (has links)
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various connections between them are investigated. Among their properties: new brackets are generated from old ones by using Lie-derivatives in the direction of certain vector fields; the infinite sequences obtained consist of compatible Poisson brackets in which the constants of motion for the Toda lattice are in involution. The vector fields in the construction are unique up to addition of a Hamiltonian vector field. Similarly the Poisson brackets are unique up to addition of a trivial Poisson bracket. These are Poisson tensors generated by wedge products of Hamiltonian vector fields. The non-trivial brackets may also be obtained by the use of r-matrices; we give formulas and prove this for the quadratic and cubic Toda brackets. We also indicate how these results can be generalized to other (semisimple) Toda flows and we give explicit formulas for the rank 2 Lie algebra of type B₂. The main tool in this calculation is Dirac's constraint bracket formula. Finally we study nonlinear Poisson brackets associated with orbits through nilpotent conjugacy classes in gl(n, R) and formulate some conjectures. We determine the degree of the transverse Poisson structure through such nilpotent elements in gl(n, R) for n ≤ 7. This is accomplished also by the use of Dirac's bracket formula.
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Isometric foldingsD'Azevedo Breda, A. M. R. January 1989 (has links)
No description available.
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Classification of Lagrangian fibrationsBernard, Ricardo Castaño January 2002 (has links)
No description available.
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Characterizations of homotopy 3-spheresRego, E. January 1988 (has links)
No description available.
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Study of conformally self-dual 4-manifoldsKing, Alastair David January 1989 (has links)
No description available.
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Symmetric submanifolds in symmetric spacesOsipova, Daria January 2000 (has links)
No description available.
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