{"title":"黎曼拟复流形度量的保角变换","authors":"S. Stepanov, I. Tsyganok, V. Rovenski","doi":"10.5922/0321-4796-2020-52-11","DOIUrl":null,"url":null,"abstract":"A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds. In particular, a number of vanishing theorems for such transformations are proved using the Bochner technique.","PeriodicalId":114406,"journal":{"name":"Differential Geometry of Manifolds of Figures","volume":"154 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On conformal transformations of metrics of Riemannian paracomplex manifolds\",\"authors\":\"S. Stepanov, I. Tsyganok, V. Rovenski\",\"doi\":\"10.5922/0321-4796-2020-52-11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds. In particular, a number of vanishing theorems for such transformations are proved using the Bochner technique.\",\"PeriodicalId\":114406,\"journal\":{\"name\":\"Differential Geometry of Manifolds of Figures\",\"volume\":\"154 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Geometry of Manifolds of Figures\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5922/0321-4796-2020-52-11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Geometry of Manifolds of Figures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5922/0321-4796-2020-52-11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On conformal transformations of metrics of Riemannian paracomplex manifolds
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds. In particular, a number of vanishing theorems for such transformations are proved using the Bochner technique.