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We present the four-dimensional manifold endowed with the metric of Joyces construction, which have torus symmetry. By using Levi-Civita connection, we calculate the curvature tensor and impose Einstein and maximally symmetric space (space of constant curvature) condition. From Einstein condition, w...
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| Online Access: | https://digilib.itb.ac.id/gdl/view/17033 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
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id-itb.:170332017-09-27T11:45:08Z#TITLE_ALTERNATIVE# NATANAEL WIJAYA (NIM : 10208075); Pembimbing : Dr. rer. nat Bobby Eka Gunara, RIO Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/17033 We present the four-dimensional manifold endowed with the metric of Joyces construction, which have torus symmetry. By using Levi-Civita connection, we calculate the curvature tensor and impose Einstein and maximally symmetric space (space of constant curvature) condition. From Einstein condition, we conclude that Joyce metric satifies Ricci at condition (lamdbda = 0). By imposing maximally symmetric space condition, we conclude that the solution is zero Gaussian curvature, that is, K = 0. text |
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Indonesia |
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We present the four-dimensional manifold endowed with the metric of Joyces construction, which have torus symmetry. By using Levi-Civita connection, we calculate the curvature tensor and impose Einstein and maximally symmetric space (space of constant curvature) condition. From Einstein condition, we conclude that Joyce metric satifies Ricci at condition (lamdbda = 0). By imposing maximally symmetric space condition, we conclude that the solution is zero Gaussian curvature, that is, K = 0. |
| format |
Final Project |
| author |
NATANAEL WIJAYA (NIM : 10208075); Pembimbing : Dr. rer. nat Bobby Eka Gunara, RIO |
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NATANAEL WIJAYA (NIM : 10208075); Pembimbing : Dr. rer. nat Bobby Eka Gunara, RIO #TITLE_ALTERNATIVE# |
| author_facet |
NATANAEL WIJAYA (NIM : 10208075); Pembimbing : Dr. rer. nat Bobby Eka Gunara, RIO |
| author_sort |
NATANAEL WIJAYA (NIM : 10208075); Pembimbing : Dr. rer. nat Bobby Eka Gunara, RIO |
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https://digilib.itb.ac.id/gdl/view/17033 |
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1820745516225396736 |