Vicent Gimeno - Web page
Research
Research Gate
Vicent at UJI
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Research Interests
Differential Geometry
Riemannian Geometry
Minimal Submainfolds
Controlled Mean Curvature Submanifolds
Geometry of Quantum States
Prepints
G. P. Bessa, V. Gimeno, L. P. Jorge
Dirichlet spectrum and Green function
[arXiv:1605.04355]
J.C Garcia-Escartin, V. Gimeno, J. J. Moyano-Fernandez
Multiple photon Hamiltonian in linear quantum optical networks
[arXiv: 1605.02653]
P. Bessa, V. Gimeno and V. Palmer
Asymptotically extrinsic tamed submanifolds
[arXiv: 1512.08667]
V. Gimeno and V. Palmer
Mean curvature, volume and properness of isometric immersions.
To appear in TAMS
[arXiv: 1504.00055]
V. Gimeno
Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth.
[arXiv: 1310.4643]
Published Papers
C. M. Brandao and V. Gimeno
On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form.
Differential Geometry and its Applications. (2016) 45
[arXiv: 1412.4929]
V. Gimeno and I. Gozalbo
Conformal type of ends of revolution in space forms of constant sectional curvature.
Annals of Global Analysis and Geometry, (2) 49 (2016), 143-164.
[arXiv: 1505.06834]
V. Gimeno,
Isoperimetric inequalities for submanifolds. Jellett–Minkowski's formula revisited.
Proc. Lond. Math. Soc. (3) 110 (2015), no. 3, 593–614.
[ arXiv:1306.2478]
V. Gimeno and S. Markvorsen
Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory.
Potential Anal. 42 (2015), no. 4, 749–774.
[ arXiv:1401.1392]
V. Gimeno and V. Palmer
Volume Growth, Number of Ends and the Topology of a Complete Submanifold.
J. Geom. Anal. 24 (2014), no. 3, 1346–1367.
[arXiv.org: 1112.4042]
V. Gimeno
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature.
Potential Anal. 40 (2014), no. 3, 267–278.
[arXiv: 1301.1148]
V. Gimeno and V. Palmer
Volume growth of submanifolds and the Cheeger Isoperimetric Constant
Proc. Amer. Math. Soc. 141 (2013), no. 10, 3639–3650.
[arXiv: 1104.5625]
V. Gimeno and J.M. Sotoca
Geometric approach to non-relativistic Quantum Dynamics of mixed states.
J. Math. Phys. 54 (2013), no. 5, 052108, 12 pp.
[arXiv: 1302.1333]
V. Gimeno and V. Palmer
Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and Hyperbolic spaces.
Israel J. Math. 194 (2013), no. 2, 539–553.
[arXiv: 1011.5380]
In preparation
A lower bound for the area of a foam.
With S. Markvorsen and J.M Sotoca.
Number of ends, Area growth and quantization of the extrinsic curvature for minimal surfaces in the hyperbolic space.
With I. Gozalbo and V. Palmer.
Geometric aspects of the Schrodinger's equation on surfaces
With S. Markvorsen
Upper Bounds for the Poincare Recurrence Time in Quantum Mixed States
With J. Sotoca.
An approximation to the evolution of the Hamiltonian in linear quantum-optical networks.
With J.C. Garcia-Escartin and J. J. Moyano-Fernandez