Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Grama Lino"'
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 pure states or quasi-pure quantum states. We construct the manifold of p
Externí odkaz:
http://arxiv.org/abs/2408.07794
In this paper, combining the Rashevsky-Chow-Sussmann (orbit) theorem with the Ambrose-Singer theorem, we introduce the notion of controllable principal connections on principal $G$-bundles. Using this concept, under a mild assumption of compactness,
Externí odkaz:
http://arxiv.org/abs/2407.01427
We construct 1-parameter families of well-known solutions to the Yamabe problem defined on Aloff-Wallach Spaces to determine bifurcation instants for these homogeneous spaces by examining changes in the Morse index of these metrics as the parameter v
Externí odkaz:
http://arxiv.org/abs/2405.20345
In arXiv:2404.19088, we initiated a program linking birational invariants with smooth ones and offering new interpretations of classical invariants, such as the Kervaire-Milnor invariants. Here, we rely on the profound geometric reasoning provided by
Externí odkaz:
http://arxiv.org/abs/2405.07322
Autor:
Prado Rafaela F. do, Grama Lino
Publikováno v:
Complex Manifolds, Vol 5, Iss 1, Pp 122-132 (2018)
In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not p
Externí odkaz:
https://doaj.org/article/b6fcf73549654e2c9c01b812a1e7b652
This paper investigates the nature of exotic spheres from two novel perspectives, addressing the fundamental question: ``What makes an exotic sphere exotic?'' First, we explore spherical T-duality in the context of $\mathrm{S}^3$-bundles over $\mathr
Externí odkaz:
http://arxiv.org/abs/2404.19088
Autor:
Cavenaghi, Leonardo F., Grama, Lino
Since the advent of new pairwise non-diffeomorphic structures on smooth manifolds, it has been questioned whether two topologically identical manifolds could admit different geometries. Not surprisingly, physicists have wondered whether a smooth stru
Externí odkaz:
http://arxiv.org/abs/2403.08960
Autor:
Grajales, Brian, Grama, Lino
In this paper, we investigate equigeodesics on a compact homogeneous space $M=G/H.$ We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of $M$ and the Lie structure of the Lie algebra of $
Externí odkaz:
http://arxiv.org/abs/2310.03935
In this article, we completely describe the control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associate derivation to the nilradical is nontrivial, the Lie algebra rank c
Externí odkaz:
http://arxiv.org/abs/2310.02176
We define a new correspondence for pairs $(\mathbb{F},H)$ formed by a flag manifold $\mathbb{F}$ together with an $H$-flux on $\mathbb{F}$. Given its role within our correspondence, infinitesimal $T$-duality may be viewed as a source of $H$-flux, in
Externí odkaz:
http://arxiv.org/abs/2308.12078