{"title":"Form fields","authors":"","doi":"10.1142/9789811243783_0010","DOIUrl":"https://doi.org/10.1142/9789811243783_0010","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123151019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FRONT MATTER","authors":"","doi":"10.1142/9789811243783_fmatter","DOIUrl":"https://doi.org/10.1142/9789811243783_fmatter","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132687608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Field equation","authors":"","doi":"10.1142/9789811243783_0014","DOIUrl":"https://doi.org/10.1142/9789811243783_0014","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"176 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114081955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Minkowski spacetime physics","authors":"","doi":"10.1142/9789811243783_0012","DOIUrl":"https://doi.org/10.1142/9789811243783_0012","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123351746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Co-/Tangent bundles","authors":"","doi":"10.1142/9789811243783_0003","DOIUrl":"https://doi.org/10.1142/9789811243783_0003","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116557055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Co-/Tangent space","authors":"","doi":"10.1142/9789811243783_0002","DOIUrl":"https://doi.org/10.1142/9789811243783_0002","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115355147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parallel transport","authors":"A. Down","doi":"10.1142/9789811243783_0007","DOIUrl":"https://doi.org/10.1142/9789811243783_0007","url":null,"abstract":"1 Review Previously, we introduced the notion of parallel transport. This concept is the last of the intrinsic properties of surfaces that we will study. After this point, we will turn to extrinsic properties. Recall the formula derived previously for γ that we took as a definition of the intrinsic geodesic curvature and the normal curvature,","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129185445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Curvature","authors":"","doi":"10.1142/9789811243783_0009","DOIUrl":"https://doi.org/10.1142/9789811243783_0009","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131285788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Levi-Civita connection","authors":"John M. Lee","doi":"10.1007/978-3-319-91755-9_5","DOIUrl":"https://doi.org/10.1007/978-3-319-91755-9_5","url":null,"abstract":"","PeriodicalId":305037,"journal":{"name":"A Mathematical Introduction to General Relativity","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131620853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}