English

NIL geodesic triangles and their interior angle sums

Metric Geometry 2016-11-18 v1

Abstract

In this paper we study the interior angle sums of geodesic triangles in \NIL\NIL geometry and prove that it can be larger, equal or less than π\pi. We use for the computations the projective model of \NIL\NIL introduced by E. {Moln\'ar} in \cite{M97}.

Cite

@article{arxiv.1611.05613,
  title  = {NIL geodesic triangles and their interior angle sums},
  author = {Jenő Szirmai},
  journal= {arXiv preprint arXiv:1611.05613},
  year   = {2016}
}

Comments

15 pages, 4 figures. arXiv admin note: text overlap with arXiv:1607.04401, arXiv:1610.01500

R2 v1 2026-06-22T16:55:28.546Z