1 citations · 1 across the 9 of their papers we have counts for
12 papers
Inhomogeneous balanced non-Kähler metrics on complex projective spaces
Brian Grajales, Lino Grama
We consider the cohomogeneity one action of on , where and . We characterize all -…
Invariant almost Hermitian structures on the maximal real flag manifold of type
Ana P. C. Freitas, Brian Grajales, Ailton R. Oliveira
We study the Gray-Hervella classes of invariant almost Hermitian structures on the maximal real flag manifold of type . We first obtain an explicit parametrization o…
Equigeodesic vectors for homogeneous Riemannian submersions
Neiton Pereira da Silva, Brian Grajales, Lino Grama
We study -equigeodesic vectors associated with homogeneous fibrations, namely vectors that are geodesic with respect to every homogeneous metric making the projection a Riemanni…
Cohomogeneity one Einstein metrics on complex projective spaces
Anderson L. A. de Araujo, Brian Grajales, Lino Grama
We study Einstein metrics on complex projective spaces that are invariant under cohomogeneity one actions of compact connected Lie groups, under the assumption that the singular or…
Characterizing Optimal-speed unitary time evolution of pure and quasi-pure quantum states
John A. Mora Rodríguez, Brian Grajales, Marcelo Terra Cunha +1
We present a characterization of the Hamiltonians that generate optimal-speed unitary time evolution and the associated dynamical trajectory, where the initial states are either pu…
Riemannian Geometry of -type Real Flag Manifolds
Brian Grajales, Gabriel Rondón, Julieth Saavedra
In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of . We characterize the metrics that are invariant unde…
Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands
Brian Grajales, Lino Grama
In this paper, we investigate equigeodesics on a compact homogeneous space We introduce a formula for the identification of equigeodesic vectors only relying on the isotro…
On the sharpness of Strichartz estimates and spectrum of compact Lie groups
Duván Cardona, Brian Grajales, Michael Ruzhansky
We prove Strichartz estimates on any compact connected simple Lie group. In the diagonal case of Bourgain's exponents we provide a new regularity order in the…
Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria
Duván Cardona, Julio Delgado, Brian Grajales +1
Let and be invariant linear operators with respect to a decomposition of a Hilbert space in subspaces of finite dimension. We gi…
Geodesics on adjoint orbits of
Rafaela F. do Prado, Brian Grajales, Lino Grama
In this paper we study geodesics on adjoint orbits of equipped with -invariant metrics (maximal compact subgroup). Our main technique is translate this pr…
Geodesic orbit spaces in real flag manifolds
Brian Grajales, Lino Grama, Caio J. C. Negreiros
We describe the invariant metrics on real flag manifolds and classify those with the following property: every geodesic is the orbit of a one-parameter subgroup. Such a metric is c…
Invariant Einstein metrics on real flag manifolds with two or three isotropy summands
Brian Grajales, Lino Grama
We study the existence of invariant Einstein metrics on real flag manifolds associated to simple and non-compact split real forms of complex classical Lie algebras whose isotropy r…