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C-projective geometry / David M.J. Calderbank, Michael G. Eastwood, Vladimir S. Matveev, Katharina Neusser.
Math/Physics/Astronomy Library QA3 .A57 no.1299
Available
LIBRA QA3 .A57 no.1-no.154, no.156-no.228, no.230-no.236, no.238-no.289, no.291-no.312, no.314-no.334, no.336-no.338
Available from offsite location
Math/Physics/Astronomy Library QA3 .A57 no.313 (1984),no.335 (1985),no.339 (1986)-no.599 (1997) no.605 (1997)-no.860 (2006),no.865 (2006)-no.1243 (2019),no.1252 (2019)-no.1286 (2020),no.1288 (2020)-no.1385 (2022),no.1392 (2023)-no.1548 (2025),no.1554 (2025)-no.1620 (2026)
Mixed Availability
- Format:
- Book
- Author/Creator:
- Calderbank, David M. J., 1970- author.
- Eastwood, Michael G., author.
- Matveev, Vladimir Sergeevich, 1971- author.
- Neusser, Katharina, 1982- author.
- Series:
- Memoirs of the American Mathematical Society ; 0065-9266 no. 1299.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1299
- Language:
- English
- Subjects (All):
- Complexes.
- Geometry, Projective.
- Physical Description:
- v, 137 pages ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, [2020]
- Summary:
- "We develop in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds. We realise it as a type of parabolic geometry and describe the associated Cartan or tractor connection. A Kahler manifold gives rise to a c-projective structure and this is one of the primary motivations for its study. The existence of two or more Kahler metrics underlying a given c-projective structure has many ramifications, which we explore in depth. As a consequence of this analysis, we prove the Yano- Obata Conjecture for complete Kahler manifolds: if such a manifold admits a one parameter group of c-projective transformations that are not affine, then it is complex projective space, equipped with a multiple of the Fubini-Study metric"-- Provided by publisher.
- Notes:
- "September 2020, volume 267, number 1299 (third of 7 numbers)."
- Includes bibliographical reference (pages 133-137).
- ISBN:
- 9781470443009
- 1470443007
- OCLC:
- 1243509239
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