A study on submanifolds in a complex projective space
A study on submanifolds in a complex projective space
批准号:
13640061
负责人:
TAKAGI Ryoichi
金额:
$2.05万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2001
资助国家:
日本
项目状态:
已结题
起止时间:
2001 至 2002
中文摘要
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英文摘要
Let H be a hyperbolic space form, and G be the group of all isometrics of H. Let K be a Lie subgroup of G. We denote by R the set of points p's in H such that the orbit K(p) of p under K is a real hypersurface in H. We assume that R is not empty, and denote by r the maximal number of the principal curvatures of the orbit K(q), where q ranges over R. Under this situation we obtained Theorem, Assume that r = 3. Then an orbit in H under K is congruent to the well-known model real hypersurface or to the Berndt real hypersurface.
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K. Tojo: "Graded Lie algebras and totally real totally geodesic submanifolds of compact"preprint. (2002)
K. Tojo:“分级李代数和完全真实的紧凑测地线子流形”预印本。
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T.Inaba, H.Nakayama: "Invariant fiber measures of angular flows and the Ruelle invariant"J.Math.Soc.Japan. 55・4(掲載決定). (2003)
T.Inaba、H.Nakayama:“角流的不变纤维测量和 Ruelle 不变量”J.Math.Soc.Japan 55・4(出版)。
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K. Tsukada: "Curvature homogenous spaces whose curvature tensors have large symmetries"Comment. Math. Univ. Carolinae. 43-2. 283-297 (2002)
K. Tsukada:“曲率张量具有大对称性的曲率齐次空间”评论。
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H.Hashimoto, K.Mashimo, K.Sekigawa: "On 4-dimensional CR-submanifold of a 6-dimensional sphere"Adv. Studies Pure Math.. 34. 143-154 (2002)
H.Hashimoto、K.Mashimo、K.Sekikawa:“关于 6 维球体的 4 维 CR 子流形”Adv。
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