Araştırma Makalesi
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Optimal Inequalities For Multiply Warped Product Submanifolds

Yıl 2008, Cilt: 1 Sayı: 1, 1 - 11, 30.04.2008

Bang-yen Chen , Franki Dillen

Öz


Anahtar Kelimeler

Multiply warped products warped product immersion warping func- tion inequality multiply CR-warped product eigenfunction of Laplacia

Kaynakça

  • [1] Chen, B. Y., Geometry of Submanifolds, M. Dekker, New York, 1973.
  • [2] Chen, B. Y., Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math. 133(2001), no. 3, 177-195; II, ibid, 134(2001), no. 2, 103-119.
  • [3] Chen, B. Y., On isometric minimal immersions from warped products into real space forms, Proc. Edinburgh Math. Soc., 45(2002), no. 3, 579-587.
  • [4] Chen, B. Y., Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno), 38(2002), no. 1, 73-80.
  • [5] Dillen, F. and NÄolker, S., Semi-parallelity, multi-rotation surfaces and the helix-property, J. Reine Angew. Math., 435(1993), 33-63.
  • [6] Nölker, S., Isometric immersions of warped products, Differential Geom. Appl., 6(1996), no. 1, 1-30.
  • [7] O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.

Yıl 2008, Cilt: 1 Sayı: 1, 1 - 11, 30.04.2008

Bang-yen Chen , Franki Dillen

Öz

Kaynakça

  • [1] Chen, B. Y., Geometry of Submanifolds, M. Dekker, New York, 1973.
  • [2] Chen, B. Y., Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math. 133(2001), no. 3, 177-195; II, ibid, 134(2001), no. 2, 103-119.
  • [3] Chen, B. Y., On isometric minimal immersions from warped products into real space forms, Proc. Edinburgh Math. Soc., 45(2002), no. 3, 579-587.
  • [4] Chen, B. Y., Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno), 38(2002), no. 1, 73-80.
  • [5] Dillen, F. and NÄolker, S., Semi-parallelity, multi-rotation surfaces and the helix-property, J. Reine Angew. Math., 435(1993), 33-63.
  • [6] Nölker, S., Isometric immersions of warped products, Differential Geom. Appl., 6(1996), no. 1, 1-30.
  • [7] O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Bang-yen Chen

Franki Dillen Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2008
Yayımlandığı Sayı Yıl 2008 Cilt: 1 Sayı: 1

Kaynak Göster

APA Chen, B.-y., & Dillen, F. (2008). Optimal Inequalities For Multiply Warped Product Submanifolds. International Electronic Journal of Geometry, 1(1), 1-11.
AMA Chen By, Dillen F. Optimal Inequalities For Multiply Warped Product Submanifolds. Int. Electron. J. Geom. Nisan 2008;1(1):1-11.
Chicago Chen, Bang-yen, ve Franki Dillen. “Optimal Inequalities For Multiply Warped Product Submanifolds”. International Electronic Journal of Geometry 1, sy. 1 (Nisan 2008): 1-11.
EndNote Chen B-y, Dillen F (01 Nisan 2008) Optimal Inequalities For Multiply Warped Product Submanifolds. International Electronic Journal of Geometry 1 1 1–11.
IEEE B.-y. Chen ve F. Dillen, “Optimal Inequalities For Multiply Warped Product Submanifolds”, Int. Electron. J. Geom., c. 1, sy. 1, ss. 1–11, 2008.
ISNAD Chen, Bang-yen - Dillen, Franki. “Optimal Inequalities For Multiply Warped Product Submanifolds”. International Electronic Journal of Geometry 1/1 (Nisan 2008), 1-11.
JAMA Chen B-y, Dillen F. Optimal Inequalities For Multiply Warped Product Submanifolds. Int. Electron. J. Geom. 2008;1:1–11.
MLA Chen, Bang-yen ve Franki Dillen. “Optimal Inequalities For Multiply Warped Product Submanifolds”. International Electronic Journal of Geometry, c. 1, sy. 1, 2008, ss. 1-11.
Vancouver Chen B-y, Dillen F. Optimal Inequalities For Multiply Warped Product Submanifolds. Int. Electron. J. Geom. 2008;1(1):1-11.