MathematicsDyadic Products, Tensor Operations, and Surface Geometry in Euclidean Space

We collect working formulas for dyadic (outer) products, the double-dot contraction of tensors, and tensor–vector cross products expressed with the Levi-Civita symbol, and we…

Mathematics

MathematicsLevi-Civita Symbol, Cross and Wedge Products, Hodge Star, and Metric Components

We review the Levi-Civita symbol in arbitrary dimension, its role in defining the cross product and wedge product, introduce the Hodge star on differential forms, and clarify…

Mathematics