{"title":"Lightlike Statistical Submersions from A Mixed 3-Sasakian Statistical Manifold","authors":"Mohammad Bagher Kazemi Balgeshir, Sara Miri","doi":"10.1016/S0034-4877(25)00037-0","DOIUrl":null,"url":null,"abstract":"<div><div>In the present paper, we study invariant and screen real lightlike statistical submersions <em>h</em> from a mixed 3-Sasakian statistical manifold. We prove that the fibers of an invariant lightlike statistical submersion are totally geodesic. We obtain some properties of screen real lightlike statistical submersions from a mixed 3-Sasakian statistical manifold. Some examples related to these notions are also constructed. Finally, we investigate warped product manifolds of the type <em>M</em> = Δ ×<sub>ϑ</sub> <em>s</em> (Ker <em>h</em><sub>*</sub>).</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"95 3","pages":"Pages 393-409"},"PeriodicalIF":1.2000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reports on Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0034487725000370","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper, we study invariant and screen real lightlike statistical submersions h from a mixed 3-Sasakian statistical manifold. We prove that the fibers of an invariant lightlike statistical submersion are totally geodesic. We obtain some properties of screen real lightlike statistical submersions from a mixed 3-Sasakian statistical manifold. Some examples related to these notions are also constructed. Finally, we investigate warped product manifolds of the type M = Δ ×ϑs (Ker h*).
期刊介绍:
Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.