Curves and lattices of points in the minkowski plane

Carla Peri

Published

1991-01-01

Curves and lattices of points in the minkowski plane

Keywords:

Integral formula, bounded convex sets, lattice points, Minkowski plane, tools, differential geometry, drawing tangents theorem, curves Euclid (es)

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Authors

Carla Peri Universitá Cattolica del Sacro Coure

Abstract (en)

The main goal of this work is to derive an integral formula refering to bounded convex sets (section 3), in order to obtain some results involving lattices of points in the Minkowski plane (seccion 4). To prove such a formula it is necessary to develop some tools of differential geometry in the large. This is done in section 2, where the turning tangents theorem for Euclidean curves is carried over to Minkowski plane.

How to Cite

APA

Peri, C. (1991). Curves and lattices of points in the minkowski plane. Revista Colombiana de Matemáticas, 25(1-4), 17–34. https://revistas.unal.edu.co/index.php/recolma/article/view/33373

ACM

[1]

Peri, C. 1991. Curves and lattices of points in the minkowski plane. Revista Colombiana de Matemáticas. 25, 1-4 (Jan. 1991), 17–34.

ACS

(1)

Peri, C. Curves and lattices of points in the minkowski plane. rev.colomb.mat 1991, 25, 17-34.

ABNT

PERI, C. Curves and lattices of points in the minkowski plane. Revista Colombiana de Matemáticas, [S. l.], v. 25, n. 1-4, p. 17–34, 1991. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33373. Acesso em: 2 feb. 2025.

Chicago

Peri, Carla. 1991. “Curves and lattices of points in the minkowski plane”. Revista Colombiana De Matemáticas 25 (1-4):17-34. https://revistas.unal.edu.co/index.php/recolma/article/view/33373.

Harvard

Peri, C. (1991) “Curves and lattices of points in the minkowski plane”, Revista Colombiana de Matemáticas, 25(1-4), pp. 17–34. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33373 (Accessed: 2 February 2025).

IEEE

[1]

C. Peri, “Curves and lattices of points in the minkowski plane”, rev.colomb.mat, vol. 25, no. 1-4, pp. 17–34, Jan. 1991.

MLA

Peri, C. “Curves and lattices of points in the minkowski plane”. Revista Colombiana de Matemáticas, vol. 25, no. 1-4, Jan. 1991, pp. 17-34, https://revistas.unal.edu.co/index.php/recolma/article/view/33373.

Turabian

Peri, Carla. “Curves and lattices of points in the minkowski plane”. Revista Colombiana de Matemáticas 25, no. 1-4 (January 1, 1991): 17–34. Accessed February 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33373.

Vancouver

1.

Peri C. Curves and lattices of points in the minkowski plane. rev.colomb.mat [Internet]. 1991 Jan. 1 [cited 2025 Feb. 2];25(1-4):17-34. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33373