- Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
- Vol: 11 Issue: 2
- Hypersphere and the Third Laplace-Beltrami Operator
Hypersphere and the Third Laplace-Beltrami Operator
Authors : Erhan Güler
Pages : 727-732
Doi:10.17798/bitlisfen.1109645
View : 6 | Download : 3
Publication Date : 2022-06-30
Article Type : Research
Abstract :In this work, we examine the differential geometric objects of the hypersphere h in four dimensional Euclidean geometry E^4. Giving some notions of four dimension, we consider the ith curvature formulas of the hypersurfaces of E^4. In addition, we reveal the hypersphere satisfying ∆^III h=Ah for some 4×4 matrix A.Keywords : Euclidean space, Third Laplace-Beltrami operator, Hypersphere, Gauss map, Curvature