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- 000 01342cam a2200265 a 4500
- 008 151021s2015 cc a bi 000 0 eng d
- 245 10 |a Riemannian geometry and geometric analysis / |c Jurgen Jost.
- 260 __ |a 北京 : |b 世界图书出版公司, |c 2015.
- 300 __ |a xiii, 611 p. : |b ill. ; |c 23cm.
- 500 __ |a Cover parallel titles.
- 504 __ |a Includes bibliographical references (p. 587-611) and index.
- 520 __ |a The contents of this book are mainly related to Riemann's geometric basic theorems, such as the Hodge theorem, the Rauch theorem, the existence of Lyusternik and Fet theorem, and the most popular topics in the field of modern mathematics. Chapter of this book is accompanied by exercises. Contents: basic theory; de Rham cohomology and the harmonic differential forms; parallel transmission, contact and the covariant derivative; geodetic and Jacobian field; symmetric spaces and the Kahler manifold; Morse theory and Floer homology. In quantum field theory problem; harmonic mapping.
- 650 _0 |a Riemann geometry.
- 950 __ |a JHUD |b O186.12 |c J84