Access the full text.
Sign up today, get DeepDyve free for 14 days.
J Szirmai (2007)
The densest geodesic ball packing by a type of $$\mathbf{Nil}$$ Nil latticesBeitr. Algebra Geom., 48
S Kobayashi, K Nomizu (1963)
Foundation of Differential Geometry
Benedek Schultz, J. Szirmai (2012)
On parallelohedra of Nil-spacePollack Periodica, 7
J. Inoguchi, R. López, M. Munteanu (2011)
Minimal translation surfaces in the Heisenberg group Nil3Geometriae Dedicata, 161
J. Szirmai (2007)
The Densest Geodesic Ball Packing by a Type of Nil Lattices
(1997)
editor): Three-Dimensional Geometry and Topology
J Pallagi, B Schultz, J Szirmai (2011)
Equidistant surfaces in $$\mathbf{Nil}$$ Nil spaceStud. Univ. Zilina. Math. Ser., 25
E. Molnár (2010)
Symmetries in the 8 homogeneous 3-geometries*
E Molnár, J Szirmai (2006)
On $$\mathbf{Nil}$$ Nil crystallographySymmetry Cult. Sci., 17
S. ©MR, Issn, Сибирские Электронные, Математические Известия, E. Molnár (2010)
ON PROJECTIVE MODELS OF THURSTON GEOMETRIES, SOME RELEVANT NOTES ON NIL ORBIFOLDS AND MANIFOLDS
(2014)
Elementargeometrie in Nil
(2009)
On Nil crystallography
J. Milnor (1976)
Curvatures of left invariant metrics on lie groupsAdvances in Mathematics, 21
I. Chavel (2006)
Riemannian Geometry: Isoperimetric Inequalities (Constant Curvature)
J. Szirmai (2012)
A candidate for the densest packing with equal balls in Thurston geometriesBeiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 55
J. Szirmai (2012)
Lattice-like translation ball packings in Nil spacePublicationes Mathematicae Debrecen, 80
(2006)
Equidistant surfaces in Nil space
E. Molnár (1997)
The projective interpretation of the eight 3-dimensional homogeneous geometries., 38
(2016)
Interior angle sum of translation and geodesic triangles inS̃L2R space.Submitted
Peter Scott (1983)
The geometries of 3-manifoldsBulletin of The London Mathematical Society, 15
(1963)
Fundation of differential geometry, I.. Interscience
E. Molnár, J. Szirmai, Andrei Vesnin (2009)
Projective metric realizations of cone-manifolds with singularities along 2-bridge knots and linksJournal of Geometry, 95
B Schultz, J Szirmai (2012)
On parallelohedra of $$\mathbf{Nil}$$ Nil -spacePollack Periodica, 7
J Szirmai (2012)
Lattice-like translation ball packings in $$\mathbf{Nil}$$ Nil spacePubl. Math. Debrecen, 80
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).
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Mar 3, 2018
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.