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230601 ||| eng |
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|a 9789819912964
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100 |
1 |
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|a Salimov, Arif
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245 |
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|a Applications of Holomorphic Functions in Geometry
|h Elektronische Ressource
|c by Arif Salimov
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250 |
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|a 1st ed. 2023
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260 |
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|a Singapore
|b Birkhäuser
|c 2023, 2023
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300 |
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|a XI, 114 p. 1 illus. in color
|b online resource
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505 |
0 |
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|a Preface -- Holomorphic Manifolds over Algebra -- Anti-Hermitian Geometry -- Problems of Lifts -- References -- Index
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653 |
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|a Geometry
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653 |
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|a Manifolds (Mathematics)
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653 |
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|a Global analysis (Mathematics)
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653 |
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|a Global Analysis and Analysis on Manifolds
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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490 |
0 |
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|a Frontiers in Mathematics
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028 |
5 |
0 |
|a 10.1007/978-981-99-1296-4
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856 |
4 |
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|u https://doi.org/10.1007/978-981-99-1296-4?nosfx=y
|x Verlag
|3 Volltext
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082 |
0 |
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|a 516
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520 |
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|a This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles. It provides detailed information about holomorphic functions in algebras and discusses some of the areas in geometry with applications. The book proves the existence of a one-to-one correspondence between hyper-complex anti-Kähler manifolds and anti-Hermitian manifolds with holomorphic metrics, and also a deformed lifting to bundles. Researchers and students of geometry, algebra, topology and physics may find the book useful as a self-study guide.
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