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标题：Characteristic Lightlike Submanifolds of an Indefinite <svg style="vertical-align:-0.27pt;width:16.775px;" id="M1" height="15.7" version="1.1" viewBox="0 0 16.775 15.7" width="16.775" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.7)"> <g transform="translate(72,-59.44)"> <text transform="matrix(1,0,0,-1,-71.95,59.76)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝒮</tspan> </text> </g> </g> </svg>-Manifold
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作者：Jae Won Lee
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/140259
出版社：Hindawi Publishing Corporation
摘要：We study characteristic 𝑟-lightlike submanifolds 𝑀 tangent to the characteristic vector fields in an indefinite metric 𝒮-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite 𝒮-space form under suitable hypotheses: (1) 𝑀 is totally umbilical or (2) its screen distribution 𝑆(𝑇𝑀) is totally umbilical in 𝑀.