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$$\mathbf {Nil}$$ Nil Geodesic Triangles and Their Interior Angle Sums

$$\mathbf {Nil}$$ Nil Geodesic Triangles and Their Interior Angle Sums In this paper we study the interior angle sums of geodesic triangles in $$\mathbf {Nil}$$ Nil geometry and prove that these can be larger, equal or less than $$\pi $$ π . We use for the computations the projective model of $$\mathbf {Nil}$$ Nil introduced by Molnár (Beitr. Algebra Geom. 38(2):261–288, 1997). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

$$\mathbf {Nil}$$ Nil Geodesic Triangles and Their Interior Angle Sums

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-018-0077-9
Publisher site
See Article on Publisher Site

Abstract

In this paper we study the interior angle sums of geodesic triangles in $$\mathbf {Nil}$$ Nil geometry and prove that these can be larger, equal or less than $$\pi $$ π . We use for the computations the projective model of $$\mathbf {Nil}$$ Nil introduced by Molnár (Beitr. Algebra Geom. 38(2):261–288, 1997).

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Mar 3, 2018

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