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A New Geometric Structure On Tangent Bundles, Nikos Georgiou, Brendan Guilfoyle
A New Geometric Structure On Tangent Bundles, Nikos Georgiou, Brendan Guilfoyle
Publications
For a Riemannian manifold (N, g), we construct a scalar flat neutral metric G on the tangent bundle TN. The metric is locally conformally flat if and only if either N is a 2- dimensional manifold or (N, g) is a real space form. It is also shown that G is locally symmetric if and only if g is locally symmetric. We then study submanifolds in TN and, in particular, find the conditions for a curve to be geodesic. The conditions for a Lagrangian graph in the tangent bundle TN to have parallel mean curvature …
Realization Of A Micro-Cavity Via The Integration Of Silicon Nitride And Lithium Niobate Using Micro Transfer Printing, Adarsh Ananthachar, Maria V. Kotlyar, Samir Ghosh, Sarvagya Dwivedi, Simone Iadanza, Liam O'Faolain, Shamsul Arafin, Brian Corbett
Realization Of A Micro-Cavity Via The Integration Of Silicon Nitride And Lithium Niobate Using Micro Transfer Printing, Adarsh Ananthachar, Maria V. Kotlyar, Samir Ghosh, Sarvagya Dwivedi, Simone Iadanza, Liam O'Faolain, Shamsul Arafin, Brian Corbett
Conference Papers
We combine Lithium Niobate and Silicon Nitride using transfer printing and realize a micro-cavity with an experimentally measured intrinsic Q-factors of 50,000. We believe this is the first realization of such type of a micro-cavity.