Almost Geodesic Curves as Intersections of n-Dimensional Spheres
Patrik PeškaPalacky University, 77900, Olomouc, Czech RepublicJosef MikešPalacky University, 77900, Olomouc, Czech RepublicLenka RýparováPalacky University, 77900, Olomouc, Czech Republic
2022en
ABI
Abstract
In this paper, we proved that any intersections of an $$n$$ -dimensional sphere with a two-dimensional plane in $$(n+1)$$ -dimensional Euclidean space are almost geodesic curves on the sphere. In this case, if the plane contains a sphere center, then the intersection is a geodesic on the sphere.
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Cited by 40 references