A curvature operator $R$ is said to possess a normal form relative to some space of curvature operators $\mathscr{P}$ if $R$ is determined uniquely in $\mathscr{P ...

Given tensors $A$ and $B$ of type $(k, k)$ on a Riemannian manifold $M$ we construct in a natural way a $2k$ form $F_k(A, B)$. If $A$ and $B$ satisfy the generalized ...

Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...