Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 9 Issue: 1

S-Manifolds Versus Indefinite S-Manifolds and Local Decomposition Theorems

Sayfa
—
Yayın Tarihi
2016-04-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

To any globally framed f-manifold carrying a structure of S-manifold we associate several

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:To any globally framed f-manifold carrying a structure of S-manifold we associate several
📊
Temel Bulgular & Veri:To any globally framed f-manifold carrying a structure of S-manifold we associate several
💡
Sonuç & Katkı:To any globally framed f-manifold carrying a structure of S-manifold we associate several
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Semi-Riemannian manifolds · indefinite metrics · Lorentz metrics

Abstract

To any globally framed f-manifold carrying a structure of S-manifold we associate several

🔖

Bu Makaleye Atıf Yap

Brunetti, L., Pastore, A. M. (2016). S-Manifolds Versus Indefinite S-Manifolds and Local Decomposition Theorems. International Electronic Journal of Geometry, Volume: 9 Issue: 1. https://doi.org/10.36890/iejg.591878

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (21)

  1. Bejancu, Aurel and Farran, Hani Reda, Foliations and Geometric Structures, Springer Verlag, Berlin, 2006.
  2. Blair, D.E., Geometry of manifolds with structural group U (n) × O(s), J. Differential Geometry 4 (1970), 155–167.
  3. Blair, D.E., Riemannian geometry of contact and symplectic manifolds, Progr. Math., 203, Birkhäuser Boston, Boston, MA, 2002.
  4. Brunetti, L. and Pastore, A.M., Curvature of a class of indefinite globally framed f -manifolds, Bull. Math. Soc. Sci. Math. Roumanie 51 99 (2008), no.3, 183–204.
  5. Brunetti, L. and Pastore, A.M., Examples of indefinite globally framed f -structures on compact Lie groups, Publ. Math. Debrecen 80 1-2 (2012), 215–234.
  6. Brunetti, L. and Pastore, A.M., On the classification of Lorentzian Sasaki space forms, Publications de l’Institut Mathématique Nouvelle série 94 (2013), no.108, 163-168.
  7. Cappelletti Montano, B. and Di Terlizzi L., D-homothetic transformations for a generalization of contact metric manifolds, Bull. Belg.Math. Soc. 14 (2007), 277–289.
  8. Di Terlizzi, L. and Pastore, A.M., K-manifolds locally described by Sasaki manifolds, An. St. Univ. Ovidius Constanta 21 (2013), no.3, 269–287.
  9. Di Terlizzi, L. and Konderak, J.J., Examples of a generalization of contact metric structures on fibre bundles, J. of Geometry 87 (2007), 31–49.
  10. Duggal, Krishan L. and Bejancu, Aurel, Lightlike submanifolds of semi-Riemannian manifolds and applications. Kluwer Acad. Publ., Dordrecht, 1996.
  11. Goldberg, S.I. and Yano, K., On normal globally framed f -manifolds, Tôhoku Math. J., 22 (1970), 362–370.
  12. Goldberg, S.I., On the existence of manifolds with an f -structure, Tensor, N. S. 26 (1972), 323-329.
  13. Guediri, M. and Lafontaine, J., Sur la complétude des varietés pseudoriemanniennes, J. Geom. Phys. 15 (1995), 150–158.
  14. Kobayashi,S. and Nomizu,K., Foundations of Differential Geometry, Vol. I, II Interscience Publish., New York, 1963,1969.
  15. Kobayashi, M., and Tsuhiya, S., Invariant submanifolds of an f -manifold with complemented frames, Kodai Math. Semin. Rep. 24 (1972), 430–450.
  16. O’Neill, B., Semi-Riemannian geometry. Academic Press, New York, 1983.
  17. Takahashi, T., Sasakian manifold with pseudo-Riemannian metric, Tôhoku Math. J. 21 (1969), no.2, 271–290.
  18. Tanno, S., The topology of contact Riemannian manifolds, Illinois J. Math. 12 (1968), 700–717.
  19. Tanno, S., Sasakian manifolds with constant ϕ-holomorphic sectional curvature, Tôhoku Math. J. 21 (1969), no.3, 501–507.
  20. Yano, K., On a structure defined by a tensor field of type (1, 1) satisfying f 3 + f = 0, Tensor (N.S.) 14 (1963), 99–109.
  21. Wu, H., On the de Rham decomposition theorem, Illinois J. Math. 8 (1964), 291–311.