{"title":"Non Existence of ℛ-semi-slant Warped Product Submanifolds in a Para-Kähler Manifold","authors":"Anil Sharma","doi":"10.5666/KMJ.2020.60.1.197","DOIUrl":null,"url":null,"abstract":"In this paper, we prove that there are no non-trivial PR-semi-slant warped product submanifolds with proper slant coefficients in para-Kähler manifolds M . We also present a numerical example that illustrates the existence of a PR-warped product submanifold in M .","PeriodicalId":46188,"journal":{"name":"Kyungpook Mathematical Journal","volume":"60 1","pages":"197-210"},"PeriodicalIF":0.6000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyungpook Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5666/KMJ.2020.60.1.197","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove that there are no non-trivial PR-semi-slant warped product submanifolds with proper slant coefficients in para-Kähler manifolds M . We also present a numerical example that illustrates the existence of a PR-warped product submanifold in M .
期刊介绍：
Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.
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