On the Number of Nontrivial Projective Transformations of Closed Manifolds
- Авторы: Matveev V.1
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Учреждения:
- Friedrich-Schiller-Universität Jena
- Выпуск: Том 223, № 6 (2017)
- Страницы: 734-738
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239438
- DOI: https://doi.org/10.1007/s10958-017-3383-7
- ID: 239438
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Аннотация
We show that for a closed Riemannian manifold the quotient of the group of projective transformations by the group of isometries contains at most two elements unless the metric has constant positive sectional curvature or every projective transformation is an affine transformation.
Об авторах
V. Matveev
Friedrich-Schiller-Universität Jena
Автор, ответственный за переписку.
Email: vladimir.matveev@uni-jena.de
Германия, Jena, 07737