22 citations · 102 across the 21 of their papers we have counts for
8 papers · 1 filter
Torsion-free -structures with identical Riemannian metric
Christopher Lin
Based on a general formula due to R.Bryant, we work out the topological structure of the space of torsion-free -structures generating the same associated Riemannian metric on…
The Functional Determinant and the Partition Function in Geometric Flows
Christopher Lin
We propose the use of the functional determinant of geometric operators in constructing an entropy functional associated to geometric flows. Our approach is based on the direct com…
The Bochner Formula via Volume Variations
Christopher Lin
In this short paper, we re-derive the Bochner formula for the Laplacian by considering local variations of volume. The derivation is rooted in the fact that the Laplacian of a func…
Laplacian Solitons and Symmetry in G_2-geometry
Christopher Lin
In this paper, it is shown that (with no additional assumptions) on a compact 7-dimensional manifold which admits a -structure soliton solutions to the Laplacian flow of R. Br…
Quantum Layers over Surfaces Ruled Outside a Compact Set
Christopher Lin, Zhiqin Lu
In this paper, we proved the quantum layer over a surface which is ruled outside a compact set, asymptotically flat but not totally geodesic admits ground states.
Discrete spectrum of quantum tubes
Christopher Lin, Zhiqin Lu
This short paper is based on the talk of the second author given at the 2005 Hayama Symposium on Complex Analysis in Several Variables. The recent results of the authors on the spe…