8 citations · 12 across the 10 of their papers we have counts for
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math.DG2021★ 3 cited
Curvatures of Stiefel manifolds with deformation metrics
Du Nguyen
We compute curvatures of a family of tractable metrics on Stiefel manifolds, introduced recently by H{ü}per, Markina and Silva Leite, which includes the well-known embedded and can…
math.DG2021
Riemannian Geometry with differentiable ambient space and metric operator
Du Nguyen
We show Riemannian geometry could be studied by identifying the tangent bundle of a Riemannian manifold with a subbundle of the trivial bundle $\mathcal{M} \times \ma…
math.DG2021★ 8 cited
Closed-form geodesics and trust-region method to calculate Riemannian logarithms on Stiefel and its quotient manifolds
Du Nguyen
We provide two closed-form geodesic formulas for a family of metrics on Stiefel manifold, parameterized by two positive numbers, having both the embedded and canonical metrics as s…