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Titlebook: CR Submanifolds of Complex Projective Space; Mirjana Djoric,Masafumi Okumura Book 2010 Springer-Verlag New York 2010 CR Submanifolds.Comp

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21#
發(fā)表于 2025-3-25 05:56:59 | 只看該作者
New Perspectives in German Political Studieses of the complex projective space are inherited from those of the sphere. Especially, at the end of this section, we prove that the complex projective space has constant holomorphic sectional curvature.
22#
發(fā)表于 2025-3-25 07:52:51 | 只看該作者
23#
發(fā)表于 2025-3-25 14:04:19 | 只看該作者
Perspectives on Geographical Marginalitych satisfy a certain condition. The condition that the shape operator is parallel is its special case. In this section we give the proof of this classification (in the specific case .) and furthermore, we show that the algebraic condition (13.5) on the shape operator implies that it is parallel.
24#
發(fā)表于 2025-3-25 18:23:20 | 只看該作者
https://doi.org/10.1007/978-3-319-59002-8her words, for the curve . without torsion, there exists a 2-dimensional totally geodesic subspace .. such that .. In general, a curve . is a submanifold of codimension 2 of .., but if its torsion is zero, it can be regarded as a submanifold of codimension 1 in .., that is, the codimension is reduce
25#
發(fā)表于 2025-3-25 20:15:32 | 只看該作者
26#
發(fā)表于 2025-3-26 00:08:16 | 只看該作者
Armand Faganel,Anita Trnav?evi?. is the distinguished normal vector field, used to define the almost contact structure . on ., induced from the almost complex structure . of .. Moreover, since a real hypersurface . of a K?hler manifold . has two geometric structures: an almost contact structure . and a submanifold structure repre
27#
發(fā)表于 2025-3-26 07:04:13 | 只看該作者
The principal circle bundle S2n+1(Pn(C), S1),es of the complex projective space are inherited from those of the sphere. Especially, at the end of this section, we prove that the complex projective space has constant holomorphic sectional curvature.
28#
發(fā)表于 2025-3-26 10:45:09 | 只看該作者
Hypersurfaces of a Riemannian manifold of constant curvature,consider hypersurfaces of a Riemannian manifold of constant curvature. This research, combined with the results obtained in Section 10, will contribute to studying real hypersurfaces of complex projective space in Section 16.
29#
發(fā)表于 2025-3-26 14:32:54 | 只看該作者
30#
發(fā)表于 2025-3-26 18:01:59 | 只看該作者
Codimension reduction of a submanifold,her words, for the curve . without torsion, there exists a 2-dimensional totally geodesic subspace .. such that .. In general, a curve . is a submanifold of codimension 2 of .., but if its torsion is zero, it can be regarded as a submanifold of codimension 1 in .., that is, the codimension is reduced from 2 to 1.
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