等维旗流形的指数

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-11-20 DOI:10.1112/mtk.70001

Samik Basu, Bikramjit Kundu

{"title":"等维旗流形的指数","authors":"Samik Basu, Bikramjit Kundu","doi":"10.1112/mtk.70001","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the flag manifold of <math></math> orthogonal subspaces of equal dimension that carries an action of the cyclic group of order <math></math>. We provide a complete calculation of the associated Fadell–Husseini index. This may be thought of as an odd primary version of the computations of Baralić, Blagojevic, Karasev, and Vucic, for the Grassmann manifold <math></math>. These results have geometric consequences for <math></math>-fold orthogonal shadows of a convex body.","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"71 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The index of equidimensional flag manifolds\",\"authors\":\"Samik Basu, Bikramjit Kundu\",\"doi\":\"10.1112/mtk.70001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the flag manifold of <math></math> orthogonal subspaces of equal dimension that carries an action of the cyclic group of order <math></math>. We provide a complete calculation of the associated Fadell–Husseini index. This may be thought of as an odd primary version of the computations of Baralić, Blagojevic, Karasev, and Vucic, for the Grassmann manifold <math></math>. These results have geometric consequences for <math></math>-fold orthogonal shadows of a convex body.\",\"PeriodicalId\":18463,\"journal\":{\"name\":\"Mathematika\",\"volume\":\"71 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-11-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematika\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/mtk.70001\",\"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":"Mathematika","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/mtk.70001","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们考虑了等维正交子空间的旗流形，该旗流形带有阶为 . 的循环群的作用。我们提供了相关法德尔-胡赛尼指数的完整计算。这可以看作是巴拉利奇、布拉戈耶维奇、卡拉塞夫和武契奇计算格拉斯曼流形的奇异初级版本。这些结果对凸体的-倍正交阴影具有几何意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The index of equidimensional flag manifolds

In this paper, we consider the flag manifold of orthogonal subspaces of equal dimension that carries an action of the cyclic group of order . We provide a complete calculation of the associated Fadell–Husseini index. This may be thought of as an odd primary version of the computations of Baralić, Blagojevic, Karasev, and Vucic, for the Grassmann manifold . These results have geometric consequences for -fold orthogonal shadows of a convex body.

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

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.