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Dave Auckly 《Proceedings of the American Mathematical Society》2005,133(3):885-889
Vidussi was the first to construct knotted Lagrangian tori in simply connected four-dimensional manifolds. Fintushel and Stern introduced a second way to detect such knotting. This note demonstrates that similar examples may be distinguished by the fundamental group of the exterior.
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Bang-yen Chen 《Annals of Global Analysis and Geometry》1993,11(4):345-359
In this article we obtain the best possible estimates of the type number of tensor product immersions and investigate tensor product immersions with lowest possible type. Several classification theorems in this respect are then proved. 相似文献
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In this paper we give a short geometric proof of a generalization of a well-known result about reduction of codimension for submanifolds of Riemannian symmetric spaces. 相似文献
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We give a complete classification of Lagrangian immersions of homogeneous 3-manifolds (the Berger spheres, the Heisenberg group , the universal covering of the Lie group and the Lie group ) in 3-dimensional complex space forms. As a corollary, we get a new characterization of the Berger sphere in complex projective space. 相似文献
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A generalized preimage theorem in global analysis 总被引:7,自引:0,他引:7
Ma Jipu 《中国科学A辑(英文版)》2001,44(3):299-303
The concept of locally fine point and generalized regular value of a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence the preimage theorem, a principle constructing Banach manifolds in global analysis, is
generalized. 相似文献
9.
Linus Kramer 《Geometriae Dedicata》2002,92(1):145-178
In these notes we describe some buildings related to complex Kac–Moody groups. First we describe the spherical building of SLn() (i.e. the projective geometry PG(n)) and its Veronese representation. Next we recall the construction of the affine building associated to a discrete valuation on the rational function field (z). Then we describe the same building in terms of complex Laurent polynomials, and introduce the Veronese representation, which is an equivariant embedding of the building into an affine Kac–Moody algebra. Next, we introduce topological twin buildings. These buildings can be used for a proof which is a variant of the proof by Quillen and Mitchell, of Bott periodicity which uses only topological geometry. At the end we indicate very briefly that the whole process works also for affine real almost split Kac–Moody groups.Supported by a Heisenberg fellowship by the Deutsche Forschungsgemeinschaft. 相似文献
10.
Dashan Fan Kanghui Guo Yibiao Pan 《Transactions of the American Mathematical Society》2003,355(3):1145-1165
mapping properties will be established in this paper for singular Radon transforms with rough kernels defined by translates of a real-analytic submanifold in .