BOOK
An Introduction to Riemann-Finsler Geometry
An Introduction to Riemann–Finsler Geometry offers a rigorous yet accessible graduate-level treatment of Finsler geometry—a natural generalization of Riemannian geometry where tangent spaces carry Minkowski norms rather than inner products. The text begins with fundamental definitions and explores basic structures such as the Chern connection, curvature, and geodesics. Advanced topics include comparison theorems, the Gauss–Bonnet theorem for Finsler surfaces, and detailed studies of special spaces—like Berwald and Randers metrics—culminating in powerful results on curvature and global geometry. Noted for its clarity and pedagogical strength, this book opens the door to research in Finsler geometry for both newcomers and advanced students .
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