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Title: | Normal curvature of CR submanifolds of maximal CR dimension of the complex projective space | Authors: | Đorić, Mirjana Okumura, M. |
Affiliations: | Geometry | Keywords: | complex projective space;CR submanifold;flat and lift-flat normal connection;normal curvature | Issue Date: | 1-Oct-2018 | Journal: | Acta Mathematica Hungarica | Abstract: | We prove that there do not exist CR submanifolds Mn of maximal CR dimension of a complex projective space Pn+p2(C) with flat normal connection D of M, when the distinguished normal vector field is parallel with respect to D. If D is lift-flat, then there exists a totally geodesic complex projective subspace Pn+12(C) of Pn+p2(C) such that M is a real hypersurface of Pn+12(C). |
URI: | https://research.matf.bg.ac.rs/handle/123456789/865 | ISSN: | 02365294 | DOI: | 10.1007/s10474-018-0821-z |
Appears in Collections: | Research outputs |
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