ar X iv : m at h / 96 02 21 3 v 1 [ m at h . D G ] 2 9 Fe b 19 96 HOMOGENEOUS SPECIAL GEOMETRY VICENTE
نویسنده
چکیده
Motivated by the physical concept of special geometry two mathematical constructions are studied, which relate real hypersurfaces to tube domains and complex Lagrangean cones respectively. Methods are developed for the classification of homogeneous Riemannian hypersurfaces and for the classification of linear transitive reductive algebraic group actions on pseudo Riemannian hypersurfaces. The theory is applied to the case of cubic hypersurfaces, which is the case most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special Kähler manifolds.
منابع مشابه
ar X iv : h ep - t h / 96 02 14 9 v 1 2 7 Fe b 19 96 UAHEP - 9603 DSFNA - T - 9606 ESI - 310 February 1996
Integrability of the Wess–Zumino–Witten model as a non–ultralocal theory * Abstract We consider the 2–dimensional Wess–Zumino–Witten (WZW) model in the canon-ical formalism introduced in [5]. Using an r–s matrix approach to non–ultralocal field theories we find the Poisson algebra of monodromy matrices and of conserved quantities with a new, non–
متن کاملar X iv : h ep - p h / 96 02 36 9 v 1 2 2 Fe b 19 96 hep - ph / 9602369 Neutrino Properties
A brief sketch is made of the present observational status of neutrino properties, with emphasis on the hints from solar and atmospheric neutrinos, as well as cosmological data on the amplitude of primordial density fluctuations. Implications of neutrino mass in particle accelerators, astrophysics and cosmology are discussed. Invited talk at TAUP95, Toledo, September 1995. [email protected];...
متن کاملar X iv : h ep - p h / 96 02 40 1 v 1 2 6 Fe b 19 96 UG - FT - 57 / 96 hep - ph / 9602401 February 1996 CHIRAL PERTURBATION THEORY
An introduction to the methods and ideas of Chiral Perturbation Theory is presented in this talk. The discussion is illustrated with some phenomenological predictions that can be compared with available experimental results.
متن کاملar X iv : h ep - t h / 96 02 14 8 v 1 2 7 Fe b 19 96 Three - point correlation functions in N = 1 Super Liouville Theory
In this letter we propose exact three-point correlation functions for N = 1 super-symmetric Liouville theory. Along the lines of [12] we propose a generalized special function which describe the three-point amplitudes. We consider briefly the so called reflection amplitudes in the supersymmetric case.
متن کاملar X iv : m at h / 05 02 50 5 v 1 [ m at h . A P ] 2 4 Fe b 20 05 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗
We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L 4 n−1 t Lx for n = 2, 3 even for data in inhomogeneous Sobolev spaces.
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تاریخ انتشار 1996