近跨萨萨流形的积分性

IF 1.6 3区数学 Q1 MATHEMATICS Journal of Geometry and Physics Pub Date : 2024-07-04 DOI:10.1016/j.geomphys.2024.105268

Aligadzhi Rabadanovich Rustanov , Svetlana Vladimirovna Kharitonova

{"title":"近跨萨萨流形的积分性","authors":"Aligadzhi Rabadanovich Rustanov , Svetlana Vladimirovna Kharitonova","doi":"10.1016/j.geomphys.2024.105268","DOIUrl":null,"url":null,"abstract":"<div><p>The geometry of integrable nearly trans-Sasakian manifolds (NST-manifolds) is studied in this paper. In particular, we consider as NST-manifolds with an integrable structure, normal NST-manifolds, and NST-manifolds satisfying the condition <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>=</mo><mn>0</mn></math></span>. Local structure of such manifolds is also described. We give a classification of NST-manifolds of constant Φ-holomorphic sectional curvature, as well as satisfying the axiom of Φ-holomorphic planes. NST-manifolds with a completely integrable first fundamental distribution are discussed.</p></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Integrability of nearly trans-Sasakian manifolds\",\"authors\":\"Aligadzhi Rabadanovich Rustanov , Svetlana Vladimirovna Kharitonova\",\"doi\":\"10.1016/j.geomphys.2024.105268\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The geometry of integrable nearly trans-Sasakian manifolds (NST-manifolds) is studied in this paper. In particular, we consider as NST-manifolds with an integrable structure, normal NST-manifolds, and NST-manifolds satisfying the condition <span><math><msup><mrow><mi>N</mi></mrow><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></msup><mo>=</mo><mn>0</mn></math></span>. Local structure of such manifolds is also described. We give a classification of NST-manifolds of constant Φ-holomorphic sectional curvature, as well as satisfying the axiom of Φ-holomorphic planes. NST-manifolds with a completely integrable first fundamental distribution are discussed.</p></div>\",\"PeriodicalId\":55602,\"journal\":{\"name\":\"Journal of Geometry and Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Geometry and Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0393044024001694\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometry and Physics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0393044024001694","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了可积分的近反萨斯流形（NST-manifolds）的几何。我们特别考虑了具有可积分结构的 NST-流形、正态 NST-流形和满足 N(2)=0 条件的 NST-流形。我们给出了具有恒定Φ-全同截面曲率以及满足Φ-全同平面公理的 NST-manifolds 的分类。讨论了具有完全可积分第一基本分布的 NST-manifolds。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Integrability of nearly trans-Sasakian manifolds

The geometry of integrable nearly trans-Sasakian manifolds (NST-manifolds) is studied in this paper. In particular, we consider as NST-manifolds with an integrable structure, normal NST-manifolds, and NST-manifolds satisfying the condition $N^{(2)} = 0$ . Local structure of such manifolds is also described. We give a classification of NST-manifolds of constant Φ-holomorphic sectional curvature, as well as satisfying the axiom of Φ-holomorphic planes. NST-manifolds with a completely integrable first fundamental distribution are discussed.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity

期刊最新文献

Editorial Board On conformal collineation and almost Ricci solitons Cohomology and extensions of relative Rota–Baxter groups Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces Complete intersection hyperkähler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one