49 citations · 107 across the 10 of their papers we have counts for
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Killing tensors, Warped Products and The Orthogonal Separation of The Hamilton-Jacobi Equation
Krishan Rajaratnam, Raymond G. McLenaghan
We study Killing tensors in the context of warped products and apply the results to the problem of orthogonal separation of the Hamilton-Jacobi equation. This work is motivated pri…
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…
Concircular tensors in Spaces of Constant Curvature: With Applications to Orthogonal Separation of The Hamilton-Jacobi Equation
Krishan Rajaratnam, Raymond G. McLenaghan
We study concircular tensors in spaces of constant curvature and then apply the results obtained to the problem of the orthogonal separation of the Hamilton-Jacobi equation on thes…