Abstract
We study geometric properties of caustics of pseudo-spherical surfaces, that is, surfaces with constant negative Gaussian curvature -1 in the Euclidean 3-space
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: JP19K14533
Award Identifier / Grant number: JP22K13914
Award Identifier / Grant number: JP20H01801
Award Identifier / Grant number: JP22KK0034
Award Identifier / Grant number: JPJSBP1 20190103
Funding statement: The author was partially supported by JSPS KAKENHI Grant Numbers JP19K14533, JP22K13914, JP20H01801 and JP22KK0034 and the Japan–Brazil bilateral project JPJSBP1 20190103.
Acknowledgements
The author would like to thank Professors Shoichi Fujimori, Wayne Rossman and Kentaro Saji for fruitful discussions and comments. He also thanks Shin Kaneda and Masahiro Kawamata for their valuable comments. The author thanks the referees for useful suggestions and comments.
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On Mukhin’s necessary and sufficient condition for the validity of the local limit theorem
- Non-commutative Khinchine-type inequality for dependent random variables and overview of its applications in data science
- Connections and genuinely ramified maps of curves
- Caustics of pseudo-spherical surfaces in the Euclidean 3-space
- On liftings of modular forms and Weil representations
- Approximation via statistical measurable convergence with respect to power series for double sequences
- Global existence, scattering, rigidity and inverse scattering for some quasilinear hyperbolic systems
- Gem-induced trisections of compact PL 4-manifolds
- Categories of modules, comodules and contramodules over representations
- On the Iwasawa invariants of BDP Selmer groups and BDP p-adic L-functions
- On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
- Congruence subgroups and crystallographic quotients of small Coxeter groups
- Some Betti numbers of the moduli of 1-dimensional sheaves on ℙ2
- Hardy and BMO spaces on Weyl chambers
- De Branges–Rovnyak spaces and local Dirichlet spaces of higher order
Artikel in diesem Heft
- Frontmatter
- On Mukhin’s necessary and sufficient condition for the validity of the local limit theorem
- Non-commutative Khinchine-type inequality for dependent random variables and overview of its applications in data science
- Connections and genuinely ramified maps of curves
- Caustics of pseudo-spherical surfaces in the Euclidean 3-space
- On liftings of modular forms and Weil representations
- Approximation via statistical measurable convergence with respect to power series for double sequences
- Global existence, scattering, rigidity and inverse scattering for some quasilinear hyperbolic systems
- Gem-induced trisections of compact PL 4-manifolds
- Categories of modules, comodules and contramodules over representations
- On the Iwasawa invariants of BDP Selmer groups and BDP p-adic L-functions
- On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms
- Congruence subgroups and crystallographic quotients of small Coxeter groups
- Some Betti numbers of the moduli of 1-dimensional sheaves on ℙ2
- Hardy and BMO spaces on Weyl chambers
- De Branges–Rovnyak spaces and local Dirichlet spaces of higher order