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    STUDIA MATHEMATICA - Issue no. 3 / 2022  
         
  Article:   TRIANGLE ANGLE SUMS RELATED TO TRANSLATION CURVES IN SOL GEOMETRY.

Authors:  JENŐ SZIRMAI.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.3.14

Published Online: 2022-09-20
Published Print: 2022-09-30
pp. 621-631

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After having investigated the geodesic and translation triangles and their angle sums in Nil and ^SL2R geometries we consider the analogous problem in Sol space that is one of the eight 3-dimensional Thurston geometries. We analyse the interior angle sums of translation triangles in Sol geometry and prove that it can be larger or equal than π. In our work we will use the projective model of Sol described by E. Molnár in [9].

Mathematics Subject Classification (2010): 53A20, 53A35, 52C35, 53B20.
Keywords: Thurston geometries, Sol geometry, translation and geodesic triangles, interior angle sum.
 
         
     
         
         
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