Geometry VI

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Focusing on geometry, this book presents a comprehensive exploration of affine connection spaces, starting with the properties of geodesics and progressing to covariant derivatives, torsion, and curvature tensors. The English translation includes supplementary chapters summarizing key concepts from manifold and vector bundle theories, enhancing its self-contained nature. Originally structured as lectures, the content has been adapted into chapters for clarity, complete with a new bibliography. This work is part of a larger series on mathematical sciences.