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Titlebook: Symplectic Geometry; An Introduction base B. Aebischer,M. Borer,H. M. Reimann Book 1994 Springer Basel AG 1994 contact geometry.differentia

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書目名稱Symplectic Geometry
副標(biāo)題An Introduction base
編輯B. Aebischer,M. Borer,H. M. Reimann
視頻videohttp://file.papertrans.cn/885/884004/884004.mp4
叢書名稱Progress in Mathematics
圖書封面Titlebook: Symplectic Geometry; An Introduction base B. Aebischer,M. Borer,H. M. Reimann Book 1994 Springer Basel AG 1994 contact geometry.differentia
描述The seminar Symplectic Geometry at the University of Berne in summer 1992 showed that the topic of this book is a very active field, where many different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspecialist a solid introduction to the recent developments in symplectic and contact geometry. Chapter 1 gives a review of the symplectic group Sp(n,R), sympkctic manifolds, and Hamiltonian systems (last but not least to fix the notations). The 1Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start- ing with a proof of the Darboux theorem saying that there are no local in- variants in symplectic geometry. The most important examples of symplectic manifolds will be introduced: cotangent spaces and Kahler manifolds. Finally we discuss the theory of coadjoint orbits and the Kostant-Souriau theorem, which are concerned with
出版日期Book 1994
關(guān)鍵詞contact geometry; differential geometry; manifold; symplectic geometry; topology
版次1
doihttps://doi.org/10.1007/978-3-0348-7512-7
isbn_softcover978-3-0348-7514-1
isbn_ebook978-3-0348-7512-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Basel AG 1994
The information of publication is updating

書目名稱Symplectic Geometry影響因子(影響力)




書目名稱Symplectic Geometry影響因子(影響力)學(xué)科排名




書目名稱Symplectic Geometry網(wǎng)絡(luò)公開度




書目名稱Symplectic Geometry網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Symplectic Geometry被引頻次




書目名稱Symplectic Geometry被引頻次學(xué)科排名




書目名稱Symplectic Geometry年度引用




書目名稱Symplectic Geometry年度引用學(xué)科排名




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沙發(fā)
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Floer Homology,oints of symplectomorphisms on compact manifolds. Floer’s construction is now known as Floer homology. There will not be enough space for all the details, nevertheless we hope to give a clear overview. In the proof that Floer homology reproduces singular homology we mainly follow Salamon and Zehnder
6#
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Pseudoholomorphic Curves,on and the whole foundation of this theory are due to M. Gromov. In the following only some of the simplest arguments of Gromov’s seminal paper [50] will be presented but we will try to give all the details of the proofs. We develop the theory as far as to be able to prove Gromov’s famous “squeezing
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,Gromov’s Compactness Theorem from a Geometrical Point of View,was the first to shed light on the ideas of this proof in his preprint [85]. Recently all the details have been worked out carefully by Hummel [61], whose “Diplomarbeit” is the main reference for this chapter.
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0743-1643 any different branches of mathematics come tog9ther: differential geometry, topology, partial differential equations, variational calculus, and complex analysis. As usual in such a situation, it may be tedious to collect all the necessary ingredients. The present book is intended to give the nonspec
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