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Higher order Codazzi tensors on conformally flat spaces.

Liu, H.L., Simon, U., Wang, C.P. (1998)

Beiträge zur Algebra und Geometrie

Higher order contact of real curves in a real hyperquadric

Yuli Villarroel (1996)

Archivum Mathematicum

Higher order contact of real curves in a real hyperquadric. II

Yuli Villarroel (1998)

Archivum Mathematicum

Let $Φ$ be an Hermitian quadratic form, of maximal rank and index $(n, 1)$ , defined over a complex $(n + 1)$ vector space $V$ . Consider the real hyperquadric defined in the complex projective space $P^{n} V$ by $Q = {[ς] \in P^{n} V, Φ (ς) = 0} .$ Let $G$ be the subgroup of the special linear group which leaves $Q$ invariant and $D$ the $(2 n) -$ distribution defined by the Cauchy Riemann structure induced over $Q$ . We study the real regular curves of constant type in $Q$ , tangent to $D$ , finding a complete system of analytic invariants for two curves to be locally equivalent...