| CALDERBANK, David M. J., Michael G. EASTWOOD, Vladimir S. MATVEEV a Katharina NEUSSER. C-projective geometry. Memoirs of the American Mathematical Society. American Mathematical Society, 2020, roč. 267, č. 1299, s. 1-150. ISSN 0065-9266. Dostupné z: https://dx.doi.org/10.1090/memo/1299. |
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@article{1730488,
author = {Calderbank, David M. J. and Eastwood, Michael G. and Matveev, Vladimir S. and Neusser, Katharina},
article_number = {1299},
doi = {http://dx.doi.org/10.1090/memo/1299},
keywords = {c-projective geometry; tractor bundle; metrizable space},
language = {eng},
issn = {0065-9266},
journal = {Memoirs of the American Mathematical Society},
title = {C-projective geometry},
url = {https://doi.org/10.1090/memo/1299},
volume = {267},
year = {2020}
}
TY - JOUR
ID - 1730488
AU - Calderbank, David M. J. - Eastwood, Michael G. - Matveev, Vladimir S. - Neusser, Katharina
PY - 2020
TI - C-projective geometry
JF - Memoirs of the American Mathematical Society
VL - 267
IS - 1299
SP - 1-150
EP - 1-150
PB - American Mathematical Society
SN - 00659266
KW - c-projective geometry
KW - tractor bundle
KW - metrizable space
UR - https://doi.org/10.1090/memo/1299
L2 - https://doi.org/10.1090/memo/1299
N2 - 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 Kähler 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 Kähler 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 Kähler 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.
ER -
CALDERBANK, David M. J., Michael G. EASTWOOD, Vladimir S. MATVEEV a Katharina NEUSSER. C-projective geometry. \textit{Memoirs of the American Mathematical Society}. American Mathematical Society, 2020, roč.~267, č.~1299, s.~1-150. ISSN~0065-9266. Dostupné z: https://dx.doi.org/10.1090/memo/1299.
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