Decomposition of closed orientable geometric surfaces into acute geodesic triangles

作者：Bau Sheng^*; Gagola Stephen M III

来源：ARCHIV DER MATHEMATIK, 2018, 110(1): 81-89.

DOI：10.1007/s00013-017-1097-1

• Acute
• Decomposition
• Geodesic
• Orientable
• Surface
• Triangle

We prove that for every , a differentiable closed orientable geometric surface of genus g may be decomposed into acute geodesic triangles. We also determine the number of acute geodesic triangles needed for the sphere and the torus.

• 出版日期2018-1