Banach spaces conformal to the Euclidean planer space


Abstract in English

We define Riemann – Banach space and the space conformal to the Euclidean planer space, then we create The necessary and sufficient conditions in order to be Riemann – Banach space conformal to the Euclidean space, then we prove that constant- curvature Riemann – Banach spaces which have are conformal to the Euclidean space. Finally, we create locally, the measurement in constant curvature Riemann –Banach spaces.

References used

Porikli, F., Tuzel, O., & Meer, P. (2016)- Designing a Boosted Classifier on Riemannian Manifolds. In Riemannian Computing in Computer Vision (pp. 281-301). Springer International Publishing
Anderson, M. T. (2015). Conformal immersions of prescribed mean curvature in R3. Nonlinear Analysis: Theory, Methods & Applications, 114, 142-157
Harandi, M., Basirat, M., & Lovell, B. C. (2016)- Coordinate Coding on the Riemannian Manifold of Symmetric Positive- Definite Matrices for Image Classification. In Riemannian Computing in Computer Vision (pp. 345-361). Springer International Publishing

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