Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/870
Title: CR-submanifolds of chen-type two in non-flat complex space forms
Authors: Dimitrić, Ivko
Đorić, Mirjana 
Affiliations: Geometry 
Keywords: Complex space form;CR-submanifold;Finite Chen-type;Laplacian
Issue Date: 1-Jan-2020
Rank: M33
Publisher: American Mathematical Society
Related Publication(s): Proceedings of the AMS Special Session on Geometry of Submainfolds, 2018
Journal: Contemporary Geometry
Conference: AMS Special Session on Geometry of Submainfolds (2018 ; Ann Arbor)
Abstract: 
We prove some nonexistence results for certain families of CR-submanifolds of Chen-type two in complex space forms. For example, there exist no holomorphic submanifolds of the complex hyperbolic space which are of 2-type via the standard embedding by projectors. This is in contrast to the situation in complex projective space, which is known to contain Einstein-Kähler submanifolds of 2-type. We further show that there are no mass-symmetric ruled real hypersurfaces in ℂQm (4c) of Chen-type 2. Additionally, we characterize mass-symmetric totally real submanifolds of 2-type in terms of detailed intrinsic and extrinsic conditions and derive some corollaries for Lagrangian submanifolds.
URI: https://research.matf.bg.ac.rs/handle/123456789/870
ISSN: 02714132
DOI: 10.1090/conm/756/15199
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