Del 1164 - Lecture Notes in Mathematics
Geometry Seminar "Luigi Bianchi" II - 1984
Lectures given at the Scuola Normale Superiore
Häftad, Engelska, 1985
495 kr
Skickas inom 10-15 vardagar
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Geometry Seminar "e;Luigi Bianchi"e; II - 1984
Lectures given at the Scuola Normale Superiore
E-bokPDF, Engelska, 2006654 kr
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Twistor Theory for Riemannian Symmetric Spaces
With Applications to Harmonic Maps of Riemann Surfaces
E-bokPDF, Engelska, 2006364 kr
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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.- Del 1424 - Lecture Notes in Mathematics
Twistor Theory for Riemannian Symmetric Spaces
With Applications to Harmonic Maps of Riemann Surfaces
Häftad, Engelska, 1990278 kr
Skickas inom 10-15 vardagar
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.
