Dergiler / International Electronic Journal of Geometry / 2016 / Cilt: 9 - Sayı: 1

Projective Surfaces and Pre-Normalized Blaschke Immersions of Codimension Two

Sayfa
100–110
Yayın Tarihi
2022-10-18
DOI
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Furthermore, an indefinite

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We prove that any non-degenerate surface in the projective 3-space has a local lift as a minimalpre-normalized Blaschke immersion into the equicentroaffine 4-space.
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Temel Bulgular & Veri:We prove that any non-degenerate surface in the projective 3-space has a local lift as a minimalpre-normalized Blaschke immersion into the equicentroaffine 4-space.
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Sonuç & Katkı:Furthermore, an indefinite
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:projective surface · affine sphere · pre-normalized Blaschke immersion

Abstract

We prove that any non-degenerate surface in the projective 3-space has a local lift as a minimalpre-normalized Blaschke immersion into the equicentroaffine 4-space. Furthermore, an indefinite

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Bu Makaleye Atıf Yap

FUJİOKA, A., FURUHATA, H., SASAKİ, T. (2022). Projective Surfaces and Pre-Normalized Blaschke Immersions of Codimension Two. International Electronic Journal of Geometry, Cilt: 9 - Sayı: 1, 100–110. https://ajindex.com/articles/539705

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Kaynakça (13)

  1. Ferapontov, E. V., Integrable systems in projective differential geometry, Kyushu J. Math. 54(2000), no. 1, 183–215
  2. Fujioka A., Furuhata H. and Sasaki T., Projective minimality for centroaffine minimal surfaces, J. Geom. 105(2014), no. 1, 87–102
  3. Furuhata H., Minimal centroaffine immersions of codimension two, Bull. Belg. Math. Soc. 7(2000), no. 1, 125–134
  4. Liu H.-L., Indefinite equi-centroaffinely homogeneous surfaces with vanishing Pick-invariant in R4, Math. J. 26(1997), no. 1, 225–251
  5. Lopšic, A. M., On the theory of a surface of n dimensions in an equicentroaffine space of n + 2 dimensions, (Russian) Sem. Vektor. Tenzor. Analizu. 8(1950), 286–295
  6. Nomizu K. and Sasaki T., Centroaffine immersions of codimension two and projective hypersurface theory, Nagoya Math. J. 132(1993), 63–90
  7. Nomizu K. and Sasaki T., Affine differential geometry. Geometry of affine immersions, Cambridge Tracts in Mathematics, 111, Cambridge University Press, Cambridge, 1994
  8. Sasaki T., Projective differential geometry and linear homogeneous differential equations, Rokko Lectures in Math
  9. Kobe University, 1999
  10. Sasaki T., Line congruence and transformation of projective surfaces, Kyushu J. Math. 60(2006), no. 1, 101–243
  11. Simon, U., Schwenk-Schellschmidt, A. and Viesel, H., Introduction to the affine differential geometry of hypersurfaces, Lecture Notes of the Science University of Tokyo, Science University of Tokyo, Tokyo, 1991
  12. Walter, R., Centroaffine differential geometry: submanifolds of codimension 2, Results Math. 13(1988), no. 3-4, 386-402
  13. Yang Y. and Liu H.-L., Minimal centroaffine immersions of codimension two, Results Math. 52(2008), no. 3-4, 423–437.