On the canonical extension of a differentiable manifold |
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| Authors: | Mehmet Yildirim Erdoğan Esin |
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| Institution: | (1) Department of Mathematics, Kirikkale University, Yah ihan, 71450 Kinkkale, Turkey;(2) Department of Mathematics, Gazi University, 06531 Ankara, Turkey |
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| Abstract: | In this paper, the differential geometry of second canonical extension2
M of a differentiable manifoldM is studied. Some vector fields tangent to2
M inTTM are determined. In addition we obtain that the second canonical extensions ofM and a totally geodesic submanifold inM are totally geodesic submanifolds inTTM and2
M respectively. |
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| Keywords: | |
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