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http://hdl.handle.net/1942/31069| Title: | Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature | Authors: | Decu, Simona HAESEN, Stefan Verstraelen, Leopold |
Issue Date: | 2020 | Publisher: | MDPI | Source: | MATHEMATICS, 8 (2) (Art N° 251) | Abstract: | In this paper, we prove some inequalities in terms of the normalized delta-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant holomorphic sectional curvature. Moreover, we study the equality cases of such inequalities. An example on these submanifolds is presented. | Notes: | Decu, S (reprint author), Bucharest Univ Econ Studies, Dept Appl Math, 6 Piata Romana, Bucharest 010374, Romania.; Decu, S (reprint author), Romanian Acad, Costin C Kiritescu Natl Inst Econ Res, Ctr Mt Econ CE MONT, 13 Calea 13 Septembrie, Bucharest 030508, Romania. simona.decu@gmail.com; stefan.haesen@uhasselt.be; leopold.verstraelen@wis.kuleuven.be |
Other: | Decu, S (reprint author), Bucharest Univ Econ Studies, Dept Appl Math, 6 Piata Romana, Bucharest 010374, Romania; Romanian Acad, Costin C Kiritescu Natl Inst Econ Res, Ctr Mt Econ CE MONT, 13 Calea 13 Septembrie, Bucharest 030508, Romania. simona.decu@gmail.com; stefan.haesen@uhasselt.be; leopold.verstraelen@wis.kuleuven.be | Keywords: | Casorati curvature;statistical submanifold;holomorphic statistical manifold | Document URI: | http://hdl.handle.net/1942/31069 | e-ISSN: | 2227-7390 | DOI: | 10.3390/math8020251 | ISI #: | WOS:000519234000106 | Rights: | 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
| Appears in Collections: | Research publications |
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