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Embedding of a maximal curve in a Hermitian variety
(Kluwer Academic PublDordrechtHolanda, 2001)
Curvature flows for almost-hermitian Lie groups
(American Mathematical Society, 2014-12)
We study curvature flows in the locally homogeneous case (e.g. compact quotients of Lie groups, solvmanifolds, nilmanifolds) in a unified way, by considering a generic flow under just a few natural conditions on the broad ...
Topological states of non-Hermitian systems
(Springer Verlag, 2018)
Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians ...
Is space-time symmetry a suitable generalization of parity-time symmetry?
(Elsevier, 2014-08-08)
We discuss space-time symmetric Hamiltonian operators of the form H = H0 + igH ′ , where H0 is Hermitian and g real. H0 is invariant under the unitary operations of a point group G while H ′ is invariant under transformation ...
On The Curve Y N = X M + X Over Finite Fields
(Academic Press Inc., 2014)
Enhanced energy harvesting near exceptional points in systems with (pseudo-) PT-symmetry
(Nature, 2021-04)
Exceptional point degeneracies, occurring in non-Hermitian systems, have challenged many well established concepts and led to the development of remarkable technologies. Here, we propose a family of autonomous motors whose ...
Mok's characteristic varieties and the normal holonomy group
(Academic Press Inc Elsevier Science, 2017-02)
In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but non-transitive normal holonomies are exactly the Hermitian s-representations ...