共查询到20条相似文献,搜索用时 0 毫秒
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Božidar Jovanović 《Regular and Chaotic Dynamics》2014,19(2):245-250
We construct analogues of the classical Heisenberg spin chain model (or the discrete Neumann system), on pseudo-spheres and light-like cones in the pseudo-Euclidean spaces and show their complete Hamiltonian integrability. Further, we prove that the Heisenberg model on a light-like cone leads to a new example of the integrable discrete contact system. 相似文献
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Masahiro Kon 《Mathematische Annalen》1976,219(3):277-290
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The purpose of this paper is to initiate a study of the differential geometry of lightlike (degenerate) submanifolds of semi-Riemannian manifolds. We construct the transversal vector bundle for an arbitrary lightlike submanifold and obtain results on the geometric structures induced on it. 相似文献
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Two-dimensional submanifolds of four-dimensional manifolds 总被引:2,自引:0,他引:2
V. A. Rokhlin 《Functional Analysis and Its Applications》1971,5(1):39-48
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Sorin Dragomir 《Israel Journal of Mathematics》1988,61(2):199-210
The main results we obtain are as follows: an invariant submanifold of a Hopf manifold with semi-flat normal connection is
either a complex hypersurface or a totally-umbilical quasi-Einstein submanifold with a flat normal connection. The only totally-umbilical
invariant submanifolds of zero scalar curvature of a Hopf manifold are the totally-geodesic flat surfaces.
To Professor A. Cossu on the Occasion of his 65th Birthday 相似文献
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Valentin Burcea 《数学学报(英文版)》2017,33(1):1-20
Let(z_(11),..., z_(1N),..., z_(m1),..., z_(mN), w_(11),..., w_(mm)) be the coordinates in C~(mN) +m~2. In this note we prove the analogue of the Theorem of Moser in the case of the real-analytic submanifold M defined as follows W = ZZ~t+ O(3),where W = {w_(ij)}_(1≤i,j≤m)and Z = {z_(ij) }_(1≤i≤m, 1≤j≤N). We prove that M is biholomorphically equivalent to the model W = ZZ~t if and only if is formally equivalent to it. 相似文献
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Bang-Yen Chen 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(11):3561-3571
In this paper we initiate the study of Lagrangian submanifolds in para-Kähler manifolds. In particular, we prove two general optimal inequalities for Lagrangian submanifolds of the flat para-Kähler manifold . Moreover, we completely classify Lagrangian submanifolds which satisfy the equality case of one of the two inequalities. 相似文献