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Partial Representations and Partial Group Algebras

- M. Dokuchaev, R. Exel, P. Piccione
- Mathematics
- 22 March 1999

Abstract The partial group algebra of a group G over a field K , denoted by K par ( G ), is the algebra whose representations correspond to the partial representations of G over K -vector spaces. In… Expand

An intrinsic approach to the Geodesical Connectedness of Stationary Lorentzian Manifolds

- F. Giannoni, P. Piccione
- Mathematics
- 1999

We prove a variational principle for geodesies on a Lorentzian manifold M. admitting a timelike Killing vector field. Using this principle and standard techniques of global nonlinear analysis we… Expand

On bifurcation of solutions of the Yamabe problem in product manifolds

- L. L. Lima, P. Piccione, M. Zedda
- Mathematics
- 7 December 2010

An existence theorem for G-structure preserving affine immersions

- P. Piccione, D. Tausk
- Mathematics
- 23 October 2006

We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian… Expand

A note on the uniqueness of solutions for the Yamabe problem

- L. L. Lima, P. Piccione, M. Zedda
- Mathematics
- 11 February 2011

We prove that in conformal classes of metrics near the class of an Einstein metric (other than the standard round metric on a sphere) the Yamabe problem has a unique solution up to scaling. This is a… Expand

The Morse index theorem in semi-Riemannian geometry

- P. Piccione, D. Tausk
- Mathematics
- 14 November 2000

Teichmüller theory and collapse of flat manifolds

- R. G. Bettiol, A. Derdzínski, P. Piccione
- Mathematics
- 23 May 2017

We provide an algebraic description of the Teichmüller space and moduli space of flat metrics on a closed manifold or orbifold and study its boundary, which consists of (isometry classes of) flat… Expand

An analytical theory for Riemannian cubic polynomials

- R. Giambò, F. Giannoni, P. Piccione
- Mathematics
- 1 December 2002

Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres

- R. G. Bettiol, P. Piccione
- Mathematics
- 26 July 2011

We study existence and non-existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all critical… Expand

On Fermat's principle for causal curves in time oriented Finsler spacetimes

- Ricardo Gallego Torrom'e, P. Piccione, Henrique Vit'orio
- Mathematics
- 17 February 2012

In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the second variation of the time arrival functional… Expand

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