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Clifford Algebras with Induced (Semi)-Riemannian Structures and Their Compactifications

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

Identifying the Clifford algebra Cℓ r,s with the semi-Riemannian manifold \(\mathbb{R}^{p,q}\), one is afforded an opportunity to examine the conformal geometry of the associated compact manifold, in a manner similar to the case of the Riemann sphere in complex analysis. In this work we consider some low-dimensional examples and provide conjectures to inspire further research.

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Correspondence to Craig A. Nolder .

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Nolder, C.A., Emanuello, J.A. (2015). Clifford Algebras with Induced (Semi)-Riemannian Structures and Their Compactifications. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_55

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