# Angles in Complex Vector Spaces

Source: [Angles in Complex Vector Spaces](<https://www.sota2.com/research/paper/68fa4f621e209131ce962bd3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:15:42.857Z

Authors: K. Scharnhorst

Published: 1999-04-15T14:10:50.000Z

## Abstract

The article reviews some of the (fairly scattered) information available in the mathematical literature on the subject of angles in complex vector spaces. The following angles and their relations are considered: Euclidean, complex, and Hermitian angles, (Kasner's) pseudo-angle, the Kaehler angle (synonyms for the latter used in the literature are: angle of inclination, characteristic deviation, holomorphic deviation, holomorphy angle, Wirtinger angle, slant angle).

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/9904077>)

[PDF](<https://arxiv.org/pdf/math/9904077.pdf>)
