{"title":"直纹曲面沿类空间曲线的演化","authors":"Gu¨l UG˘ UR Kaymanli, Cumali Ekici","doi":"10.52280/pujm.2022.540401","DOIUrl":null,"url":null,"abstract":"In this paper, we work on the ruled surfaces obtained by a\nquasi normal and quasi binormal vectors along a spacelike space curve in\nthree dimensional Minkowski space. Time evolution equations depending\non quasi curvatures are obtained. Studying directional evolutions of both\nquasi normal and quasi binormal ruled surfaces by using their directrices,\nwe investigate some geometric properties such as inextensibilty, developability,\nflatness and minimality of these ruled surfaces.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Evolutions of the Ruled Surfaces along a Spacelike Space Curve\",\"authors\":\"Gu¨l UG˘ UR Kaymanli, Cumali Ekici\",\"doi\":\"10.52280/pujm.2022.540401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we work on the ruled surfaces obtained by a\\nquasi normal and quasi binormal vectors along a spacelike space curve in\\nthree dimensional Minkowski space. Time evolution equations depending\\non quasi curvatures are obtained. Studying directional evolutions of both\\nquasi normal and quasi binormal ruled surfaces by using their directrices,\\nwe investigate some geometric properties such as inextensibilty, developability,\\nflatness and minimality of these ruled surfaces.\",\"PeriodicalId\":205373,\"journal\":{\"name\":\"Punjab University Journal of Mathematics\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Punjab University Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52280/pujm.2022.540401\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2022.540401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Evolutions of the Ruled Surfaces along a Spacelike Space Curve
In this paper, we work on the ruled surfaces obtained by a
quasi normal and quasi binormal vectors along a spacelike space curve in
three dimensional Minkowski space. Time evolution equations depending
on quasi curvatures are obtained. Studying directional evolutions of both
quasi normal and quasi binormal ruled surfaces by using their directrices,
we investigate some geometric properties such as inextensibilty, developability,
flatness and minimality of these ruled surfaces.