{"title":"复二次曲面中实超曲面上的伪里奇-山边孤子","authors":"Young Jin Suh","doi":"10.1002/mana.202400087","DOIUrl":null,"url":null,"abstract":"<p>First, we introduce a new notion of pseudo-anti commuting for real hypersurfaces in the complex quadric <span></span><math>\n <semantics>\n <mrow>\n <msup>\n <mi>Q</mi>\n <mi>m</mi>\n </msup>\n <mo>=</mo>\n <mi>S</mi>\n <msub>\n <mi>O</mi>\n <mrow>\n <mi>m</mi>\n <mo>+</mo>\n <mn>2</mn>\n </mrow>\n </msub>\n <mo>/</mo>\n <mi>S</mi>\n <msub>\n <mi>O</mi>\n <mi>m</mi>\n </msub>\n <mi>S</mi>\n <msub>\n <mi>O</mi>\n <mn>2</mn>\n </msub>\n </mrow>\n <annotation>$Q^m = SO_{m+2}/SO_mSO_2$</annotation>\n </semantics></math> and give a complete classification of Hopf pseudo-Ricci–Yamabe soliton real hypersurfaces in the complex quadric <span></span><math>\n <semantics>\n <msup>\n <mi>Q</mi>\n <mi>m</mi>\n </msup>\n <annotation>$Q^m$</annotation>\n </semantics></math>. Next as an application we obtain a classification of gradient pseudo-Ricci–Yamabe solitons on Hopf real hypersurfaces in <span></span><math>\n <semantics>\n <msup>\n <mi>Q</mi>\n <mi>m</mi>\n </msup>\n <annotation>$Q^m$</annotation>\n </semantics></math>.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 10","pages":"3904-3926"},"PeriodicalIF":0.8000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pseudo-Ricci–Yamabe solitons on real hypersurfaces in the complex quadric\",\"authors\":\"Young Jin Suh\",\"doi\":\"10.1002/mana.202400087\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>First, we introduce a new notion of pseudo-anti commuting for real hypersurfaces in the complex quadric <span></span><math>\\n <semantics>\\n <mrow>\\n <msup>\\n <mi>Q</mi>\\n <mi>m</mi>\\n </msup>\\n <mo>=</mo>\\n <mi>S</mi>\\n <msub>\\n <mi>O</mi>\\n <mrow>\\n <mi>m</mi>\\n <mo>+</mo>\\n <mn>2</mn>\\n </mrow>\\n </msub>\\n <mo>/</mo>\\n <mi>S</mi>\\n <msub>\\n <mi>O</mi>\\n <mi>m</mi>\\n </msub>\\n <mi>S</mi>\\n <msub>\\n <mi>O</mi>\\n <mn>2</mn>\\n </msub>\\n </mrow>\\n <annotation>$Q^m = SO_{m+2}/SO_mSO_2$</annotation>\\n </semantics></math> and give a complete classification of Hopf pseudo-Ricci–Yamabe soliton real hypersurfaces in the complex quadric <span></span><math>\\n <semantics>\\n <msup>\\n <mi>Q</mi>\\n <mi>m</mi>\\n </msup>\\n <annotation>$Q^m$</annotation>\\n </semantics></math>. Next as an application we obtain a classification of gradient pseudo-Ricci–Yamabe solitons on Hopf real hypersurfaces in <span></span><math>\\n <semantics>\\n <msup>\\n <mi>Q</mi>\\n <mi>m</mi>\\n </msup>\\n <annotation>$Q^m$</annotation>\\n </semantics></math>.</p>\",\"PeriodicalId\":49853,\"journal\":{\"name\":\"Mathematische Nachrichten\",\"volume\":\"297 10\",\"pages\":\"3904-3926\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematische Nachrichten\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/mana.202400087\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202400087","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Pseudo-Ricci–Yamabe solitons on real hypersurfaces in the complex quadric
First, we introduce a new notion of pseudo-anti commuting for real hypersurfaces in the complex quadric and give a complete classification of Hopf pseudo-Ricci–Yamabe soliton real hypersurfaces in the complex quadric . Next as an application we obtain a classification of gradient pseudo-Ricci–Yamabe solitons on Hopf real hypersurfaces in .
期刊介绍：
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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