In this paper, a one-to-one correspondence is given between the tangent bundle of unit 2-sphere, T2, and the unit dual sphere, 2. According to Study's map, to each curve on 2 corresponds a ruled surface in Euclidean 3-space, 3. Through this correspondence, we have corresponded to ...
In the first two sections of this chapter we discuss the geometry of the tangent bundle and the tangent sphere bundle. In Section 3 we briefly present a more general construction on vector bundles and in Section 4 specialize to the case of the normal bundle of a submanifold. The formalism ...
bundleofthe(n+1)-sphere.(Then=2casewasfoundearlierbyCandelasanddelaOssa [CD]:then=1caseistheEguchi-Hansonmetric[EH]).Thecomplexstructureisthatof thequadricinC n+2 . Onesourceofinterestinphysicsisthatthereisa“conifoldtransition”[CD]–boththe StenzelmetricsandanotherfamilyofRicci-flatK¨ahlermetri...
2.A sudden digression or change of course:went off on a tangent during his presentation. 3.MusicAn upright pin in a keyboard instrument, especially in a clavichord, that rises to sound a string when a key is depressed and stops the string at a preset length to set the pitch. ...
BLAIR D.E.:When is the tangent sphere bundle locally symmetric?, Geometry and Topology, World Scientific, Singapore, 1989, 15–30. Google Scholar CARPENTER P., GRAY A., WILLMORE T. J.:The curvature of Einstein symmetric spaces, Quart. J. Math. Oxford (2),33 (1982), 45–64. Google...
The drag and lift forces acting on a rotating rigid sphere in a homogeneous linear shear flow are numerically studied by means of a three-dimensional numer... R Kurose,S Komori - 《Journal of Fluid Mechanics》 被引量: 342发表: 2000年 Quantitative evaluation of the low Earth orbit satellite...
摘要: In this paper, we study the unit tangent sphere bundles TM(4c) of complex space forms M(4c) with constant holomorphic sectional curvature 4c. In particular, we determine TM(4c) whose Ricci tensors satisfy the Einstein-like conditions....
Thus, the regularization of this singularity can be viewed as excising this neighborhood of the singularity and attaching the northern hemisphere of the unittangentbundleof the sphere. From theCambridge English Corpus Unlike the 2-sphere, the 3-sphere admits nonvanishing vector fields (sections of ...
1) tangent sphere bundle 切球丛1. In this thesis, we mainly study the relations between compact minimal hypersurfaces of S~(n+1)(1) and the Clifford minimal hypersurface of S~(n+1)(1) by their spectrums, and the relations between unit tangent sphere bundle T_1 M and its base ...
1.In this thesis, we mainly study the relations between compact minimal hypersurfaces of S~(n+1)(1) and the Clifford minimal hypersurface of S~(n+1)(1) by their spectrums, and the relations between unit tangent sphere bundle T_1 M and its base manifold M.在本文中,我们主要通过谱研究...