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Submanifold theory from the viewpoint of circles

島根大学総合理工学部紀要. シリーズB Volume 40 Page 15-32 published_at 2007-03

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File	c0020040003.pdf 220 KB エンバーゴ : 2007-03-15
Title	Submanifold theory from the viewpoint of circles
Creator	Maeda Sadahiro
Source Title	島根大学総合理工学部紀要. シリーズB
Volume	40
Start Page	15
End Page	32
Journal Identifire	ISSN 13427121
Descriptions	We study submanifolds by using the notion of circles in Riemannian geometry. This expository paper consists of two parts. One is to improve Nomizu and Yano’s result ([11]) which characterizes extrinsic spheres in a Riemannian manifold. The other is to characterize totally geodesic immersions and some parallel immersions in terms of Frenet curves of proper order 2 (which are generalizations of circles) on submanifolds.
Subjects	totally umbilic submanifolds ( Other) circles ( Other) constant isotropic immersions ( Other) Kahler submanifolds ( Other) Veronese embeddings ( Other) Frenet curves of proper order 2 ( Other) Kahler Frenet curves ( Other)
Language	jpn
Resource Type	departmental bulletin paper
Publisher	島根大学総合理工学部
Date of Issued	2007-03
Publish Type	Version of Record
Access Rights	open access
Relation	[NCID] AA11157123