- Tytuł:
- Module of a geodesic foliation on the flat torus
- Autorzy:
- Kaźmierczak, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/122768.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
flat torus
module of a family of submanifolds
foliation
geodesics
foliacja
geodezja - Opis:
- We study properties of geodesic foliations on the flat, n-dimensional torus. Using the isomorphism of the Hodge star, we obtain some facts concerning compact totally geodesic surfaces (which are the leaves of geodesic foliations). We compute the p-module of a geodesic foliation. On the basis of these results, we derive a kind of reciprocity formula for the product of modules of two orthogonal foliations. We relate this product with the number of intersections of their leaves. We also obtain a formula for a product of modules of a finite number of geodesic foliations.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 61-72
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł