Decomposition of closed orientable geometric surfaces into acute geodesic triangles |
| |
| Authors: | Sheng Bau III" target="_blank">Stephen M GagolaIII |
| |
| Institution: | 1.School of Mathematics, Statistics and Computer Science,University of Kwazulu Natal,Pietermaritzburg,South Africa;2.Department of Mathematics,University of South Carolina,Columbia,USA |
| |
| Abstract: | We prove that for every \(g\ge 2\), a differentiable closed orientable geometric surface of genus g may be decomposed into \(16g-16\) acute geodesic triangles. We also determine the number of acute geodesic triangles needed for the sphere and the torus. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
