32 citations · 221 across the 43 of their papers we have counts for
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Algebra and geometry of Hamilton's quaternions
Govind S. Krishnaswami, Sonakshi Sachdev
Inspired by the relation between the algebra of complex numbers and plane geometry, William Rowan Hamilton sought an algebra of triples for application to three dimensional geometr…
Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem
Govind S. Krishnaswami, Himalaya Senapati
The Maupertuis principle allows us to regard classical trajectories as reparametrized geodesics of the Jacobi-Maupertuis (JM) metric on configuration space. We study this geodesic…
Local conservative regularizations of compressible magnetohydrodynamic and neutral flows
Govind S. Krishnaswami, Sonakshi Sachdev, Anantanarayanan Thyagaraja
Ideal systems like MHD and Euler flow may develop singularities in vorticity (w = curl v). Viscosity and resistivity provide dissipative regularizations of the singularities. In th…