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In Euclidean geometry, the Cauchy-Schwarz inequality is ##|e\cdot f| \le |e||f|##. In a Minkowskian signature, the inequality is reversed for timelike vectors. Apparently for spacelike vectors it depends on whether the two vectors span the light cone:
http://math.stackexchange.com/questions/283073/cauchy-schwarz-for-metrics-with-arbitrary-signatures
Does anyone know a proof of this?
http://math.stackexchange.com/questions/283073/cauchy-schwarz-for-metrics-with-arbitrary-signatures
Does anyone know a proof of this?