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- Guillermo Henry, Daniela Rodriguez
- Journal of Mathematical Imaging and Vision
- 2009

The paper concerns the strong uniform consistency and the asymptotic distribution of the kernel density estimator of random objects on a Riemannian manifolds, proposed by Pelletier (Stat. Probab. Lett., 73(3):297–304, 2005). The estimator is illustrated via one example based on a real data.

- S. Hammarling, G. Henry, +6 authors R. C. Whaley
- 2001

- Guillermo Henry
- 2015

Let (M, g) be a closed Riemannian manifold (m ≥ 2) of positive scalar curvature and (N, h) any closed manifold. We study the asymptotic behaviour of the second Yamabe constant and the second N−Yamabe constant of (M × N, g + th) as t goes to +∞. We obtain that limt→+∞ Y (M ×N, [g+ th]) = 2 2 m+n Y (M ×R, [g+ ge]). If n ≥ 2, we show the existence of nodal… (More)

- Guillermo Henry
- 2008

In order to study tensor fields of type (0,2) on manifolds and fibrations we introduce the notion of Superspaces, that are not the ones well known in physics. With the help of these objects we generalized the concept of natural tensor without making use of the theory of differential invariant.

In this paper, we consider kernel type estimator with variable bandwidth when the random variables belong in a Riemannian manifolds. We study asymptotic properties such as the consistency and the asymptotic distribution. A simulation study is also considered to evaluate the performance of the proposal. Finally, to illustrate the potential applications of… (More)

- Guillermo Henry, Daniela Rodriguez, Mariela Sued
- Communications in Statistics - Simulation and…
- 2014

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