Non-Riemannian Geometry

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The use of the differential geometry of a Riemannian space in the mathematical formulation of physical theories led to important developments in the geometry of

Metric Structures for Riemannian and Non-Riemannian Spaces

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This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect re

On the Hypotheses Which Lie at the Bases of Geometry

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This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophic

Some Nonlinear Problems in Riemannian Geometry

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This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of con

An Introduction to Riemannian Geometry

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Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first pa