Twistor Theory for Riemannian Symmetric Spaces is popular PDF and ePub book, written by Francis E. Burstall in 2006-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Twistor Theory for Riemannian Symmetric Spaces can be Read Online from any device for your convenience.
Twistor Theory for Riemannian Symmetric Spaces Book PDF Summary
In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.
Detail Book of Twistor Theory for Riemannian Symmetric Spaces PDF
- Author : Francis E. Burstall
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540470526
- Genre : Mathematics
- Total Page : 120 pages
- Language : English
- PDF File Size : 10,5 Mb
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