Schwarz maps for the hypergeometric differential equation
DOI10.1142/S0129167X15410025zbMath1326.53098WikidataQ115246521 ScholiaQ115246521MaRDI QIDQ5265245
Takeshi Sasaki, Kentaro Saji, Masayuki Noro, Shoichi Fujimori, Masaaki Yoshida
Publication date: 23 July 2015
Published in: International Journal of Mathematics (Search for Journal in Brave)
hypergeometric differential equationSchwarz maphyperbolic Schwarz mapderived Schwarz mapde Sitter Schwarz map
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Singularities of differentiable mappings in differential topology (57R45) Non-Euclidean differential geometry (53A35) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (2)
Cites Work
- Criteria for \(D_4\) singularities of wave fronts
- Asymptotic behavior of flat surfaces in hyperbolic 3-space
- Flat fronts in hyperbolic 3-space and their caustics
- Hyperbolic Schwarz map of the confluent hypergeometric differential equation
- Flat fronts in hyperbolic 3-space
- Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics
- Singularities of flat fronts in hyperbolic space
- Singularities of flat fronts and their caustics, and an example arising from the hyperbolic Schwarz map of a hypergeometric equation
- DERIVED SCHWARZ MAP OF THE HYPERGEOMETRIC DIFFERENTIAL EQUATION AND A PARALLEL FAMILY OF FLAT FRONTS
- The Hyperbolic Schwarz Map for the Hypergeometric Differential Equation
- A k singlarities of wave fronts
- The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces
- Flat surfaces in \(\mathbb{L}^4\)
- Horospherical flat surfaces in hyperbolic 3-space
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