Guillermo Henry


Research:

Differential Geometry, Geometric Analysis, Statistics on Riemannian manifolds.


Articles:

14) Isoparametric functions and nodal solutions of the Yamabe equation. PDF


13) (with F. Madani) The equivariant second Yamabe constant. To Appear in The Journal of Geometric Analysis. PDF


12) Second  Yamabe constants on Riemannian  products.  Journal of Geometry and Physics (2017) Vol. 114, 260-275. PDF


11)  (with D. Rodriguez)  On the instability of two entropic dynamical models.  Chaos, Solitons and Fractals (2016) Vol. 91, 604-609.PDF


10) (with J. Petean)  On Yamabe constants of products with Hyperbolic spaces.  The Journal of Geometric Analysis, (2015) Vol. 25, 2:1387-1400.

PDF


9) (with  J. Petean)   Isoparametric hypersurfaces and metrics of constant scalar curvature.  The Asian Journal of Mathematics, (2014) Vol. 18, 1:53-68.PDF


8) (with A. Muñoz and D. Rodriguez) Locally adaptative density estimation on Riemannian manifolds. Sort: Statistics and Operation Research Transactions, (2013)  Vol. 37, 2:111-130.PDF


7) (With D. Rodriguez) Robust estimator in partly linear regression models on Riemannian manifolds. To appear in Communications in Statistics: Theory and Methods. (2013). PDF


6) (with  D. Rodriguez and M. Sued)  A note on the estimation of the Holder constant.  Comunications in Statistics- Simulation and Computation, (2014) Vol. 43, 4:905-912.PDF


5) (with  W. González Manteiga and D. Rodriguez) Partially linear models on Riemannian Maniolds.  Journal of Applied Statistics, (2012) Vol. 39, 1797-1809.PDF


4) (with G. Keilhauer)  Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold.  Tokyo Journal of Mathematics (2012) Vol. 35 1:1-15. PDF


3)  A new formalism for the study of natural tensor fields of type (0,2) on manifolds and fibrations.   JP Journal of Geometry and Topology, (2011), Vol. 11, 2:147-180. PDF


2) (with D. Rodriguez)  Kernel density estimation on Riemannian Manifolds: Asymptotic Results.  Journal of Mathematical Imaging and Vision, (2009)  Vol. 34, 235-.239. PDF


1) (with D. Rodriguez) Robust Nonparametric Regression on

Riemannian Manifolds.  Journal of Nonparametric Statistics, (2009) Vol. 21, 5:611 - 628. PDF

                  

Lecture Notes:

 Curvatura escalar y la constante de Yamabe. Notas del  curso  "Scalar curvature and the Yamabe constant" dictado en el EGEO 2019, VI Workshop on Differential Geometry. La Falda, Córdoba, Agosto de 2016.PDF


Thesis:

Tensores naturales sobre variedades y fibraciones.

Tesis de doctorado/Phd. Thesis (2009). Director/Advisor: G. Keilhauer.PDF(In Spanish)


Tensores naturales de tipo (0,2) en el fibrado unitario tangente con aplicaciones al espacio de geodésicas.
Tesis de Licenciatura (2003). Director/Advisor: G. Keilhauer.
PDF(In Spanish)







         
        






 

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