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Basic Differential Geometry Concepts and Their Applications

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A Mathematical Journey to Relativity

Part of the book series: UNITEXT for Physics ((UNITEXTPH))

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Abstract

Einstein’s point of view written above may seem malicious. But almost all the mathematics we present in this chapter is related to the work by Tullio Levi-Civita.

The theory of gravitation will not find its way into my colleagues’ head for longtime yet, no doubt. Only one, Levi-Civita in Padua, has probably grasped the main point completely, because he is

familiar with the mathematics used.

Albert Einstein

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Correspondence to Wladimir-Georges Boskoff .

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© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Boskoff, WG., Capozziello, S. (2024). Basic Differential Geometry Concepts and Their Applications. In: A Mathematical Journey to Relativity. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-54823-9_5

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