JP Journal of Geometry and Topology
Volume 21, Issue 3, Pages 223 - 245
(August 2018) http://dx.doi.org/10.17654/GT021030223 |
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TANGENT BUNDLE OF A HYPERSURFACE IN R4
Suha B. Al-Shaikh
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Abstract: In this paper, we consider a special case for the relevant work in a 2011 paper of Sharief Deshmukh and Suha B. Al-Shaikh published in Beitr. Algebra Geom. [9] wherein we study the tangent bundle of M3 as a submanifold of R4. Since we know that R4 has three Hermitian complex structures, using them together with the unit normal to the hypersurface M3, we get three orthonormal unit vectors on M3. By means of these three vectors, we study the properties of TM equipped with the induced metric represented in [9]. |
Keywords and phrases: tangent bundle, hypersurface, submanifolds, Hermition complex structure. |
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