| Book Description | This book presents the main concepts in Riemannian geometry. In order to overcome the difficulty of understanding the complex formulas of Riemannian geometry, the book begins with curvature, which is one of the most important concepts in differential geometry. The book also begins with studying two-dimensional curves and surfaces in R3 and Rn. Curvature in engineering is defined as measuring the amount of deviation in a geometric shape. The book then expands on the study of surfaces with dimensions Rn. The book also presents an introduction to Riemannian geometry, starting with Riemannian Manifestation. After that, more complex topics are studied, namely hyperbolic geometry, general geometry, and some theories in Riemannian geometry. |
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