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Earthquakes are analytic.

Steven P. Kerckhoff (1985)

Commentarii mathematici Helvetici

Embeddability of real analytic Cauchy-Riemann manifolds

Aldo Andreotti, Gregory A. Fredricks (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Enveloppes polynomiales de variétés réelles dans C2.

Boris Gourlay (1993)

Publicacions Matemàtiques

We present here three examples concerning polynomial hulls of some manifolds in C2.1. Some real surfaces with equation w = P (z,z') + G(z) where P is a homogeneous polynomial of degree n and G(z) = o(|z|n) at 0 which are locally polynomially convex at 0.2. Some real surfaces MF with equation w = zn+kz'n + F(z,z') such that the hull of Mf ∩ B'(0,1) contains a neighbourhood of 0.3. A contable union of totally real planes (Pj) such that B'(0,1) ∩ (∪j∈N Pj) is polynomially convex.

Equivariant holomorphic extensions of real analytic manifolds

Peter Heinzner (1993)

Bulletin de la Société Mathématique de France

Every finitely presented group is the ...of some two dimensional Stein space.

Nicolae Mihalache (1994)

Mathematische Annalen

Extending Tamm's theorem

Lou van den Dries, Chris Miller (1994)

Annales de l'institut Fourier

We extend a result of M. Tamm as follows:Let $f : A \to ℝ, A \subseteq ℝ^{m + n}$ , be definable in the ordered field of real numbers augmented by all real analytic functions on compact boxes and all power functions $x \mapsto x^{r} : (0, \infty) \to ℝ, r \in ℝ$ . Then there exists $N \in ℕ$ such that for all $(a, b) \in A$ , if $y \mapsto f (a, y)$ is $C^{N}$ in a neighborhood of $b$ , then $y \mapsto f (a, y)$ is real analytic in a neighborhood of $b$ .

Extension sets for real analytic functions and applications to Radon transforms.

Arguedas, Vernor, Estrada, Ricardo (1996)

International Journal of Mathematics and Mathematical Sciences