13 citations · 26 across the 4 of their papers we have counts for
4 papers
Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
Krishan Rajaratnam, Raymond G. McLenaghan, Carlos Valero
We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti.…
Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature
Krishan Rajaratnam, Raymond G. McLenaghan
We find all orthogonal metrics where the geodesic Hamilton-Jacobi equation separates and the Riemann curvature tensor satisfies a certain equation (called the diagonal curvature co…
Warped products and Spaces of Constant Curvature
Krishan Rajaratnam
We will obtain the warped product decompositions of spaces of constant curvature (with arbitrary signature) in their natural models as subsets of pseudo-Euclidean space. This gener…
Canonical forms of Self-Adjoint Operators in Minkowski Space-time
Krishan Rajaratnam
We classify the possible Jordan canonical forms of self-adjoint operators in Minkowski space-time (in fact in pseudo-Euclidean space, i.e. an indefinite inner product space) and we…