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Title: | Chen Inequalities for Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms | Authors: | Decu, Simona HAESEN, Stefan |
Issue Date: | 2022 | Publisher: | MDPI | Source: | Mathematics, 10 (3) | Abstract: | In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para-Kahler space forms. Furthermore, we investigate the equality cases of these inequalities. As illustrations of the applications of the above inequalities, we consider a few examples. | Notes: | Decu, S (corresponding author), Bucharest Univ Econ Studies, Dept Appl Math, 6 Piata Romana, Bucharest 010374, Romania.; Decu, S (corresponding 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 |
Keywords: | Chen inequality;statistical manifold of type para-Kahler space form;totally real submanifold | Document URI: | http://hdl.handle.net/1942/36837 | ISSN: | 2227-7390 | e-ISSN: | 2227-7390 | DOI: | 10.3390/math10030330 | ISI #: | WOS:000755703300001 | Rights: | 2022 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 (https:// creativecommons.org/licenses/by/4.0/) | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
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Chen Inequalities for Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms.pdf | Published version | 309.29 kB | Adobe PDF | View/Open |
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