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A δ-Invariant for QR-Submanifolds in Quaternion Space Forms

Yıl 2018, Cilt: 11 Sayı: 2, 8 - 17, 30.11.2018

Gabriel Macsim Adela Mihai

https://doi.org/10.36890/iejg.545112
Cited By: 1

Öz


Anahtar Kelimeler

QR-submanifolds quaternion space forms δ-invariants

Kaynakça

  • [1] Al-Solamy, F., Chen, B.-Y. and Deshmukh, S., Two optimal inequalities for anti-holomorphic submanifolds and their applications, Taiwanese J. Math. 18 (2014), no.1, 199-217.
  • [2] Bejancu, A., QR-submanifolds of quaternion Kaehler manifolds, Chinese J. Math. 14 (1986), no. 2, 81-94.
  • [3] Chen, B.-Y., CR-submanifolds of a Kaehler manifold, J. Diff. Geom. 16 (1981), 305-323.
  • [4] Chen, B.-Y., An optimal inequality for CR-warped products in complex space forms involving CR δ--invariant, Internat. J. Math. 23 (2012), no. 3, 1250045 (17 pages).
  • [5] Macsim, G. and Mihai, A., An inequality on quaternionic CR-submanifolds, Ann. Univ. Ovidius Constan¸ta, XXVI (2018), no. 3, to appear.
  • [6] Nash, J. F., The imbedding problem for Riemannian manifolds, Ann. of Math. 63 (1956), 20-63.
  • [7] Oprea, T., Optimizations on Riemannian submanifolds, Analele Univ. Buc. LIV 1 (2005), 127-136.
  • [8] Sahin, B., On QR-submanifolds of a quaternionic space forms, Turkish J. Math. 25 (2001), 413-425.

Yıl 2018, Cilt: 11 Sayı: 2, 8 - 17, 30.11.2018

Gabriel Macsim Adela Mihai

https://doi.org/10.36890/iejg.545112
Cited By: 1

Öz

Kaynakça

  • [1] Al-Solamy, F., Chen, B.-Y. and Deshmukh, S., Two optimal inequalities for anti-holomorphic submanifolds and their applications, Taiwanese J. Math. 18 (2014), no.1, 199-217.
  • [2] Bejancu, A., QR-submanifolds of quaternion Kaehler manifolds, Chinese J. Math. 14 (1986), no. 2, 81-94.
  • [3] Chen, B.-Y., CR-submanifolds of a Kaehler manifold, J. Diff. Geom. 16 (1981), 305-323.
  • [4] Chen, B.-Y., An optimal inequality for CR-warped products in complex space forms involving CR δ--invariant, Internat. J. Math. 23 (2012), no. 3, 1250045 (17 pages).
  • [5] Macsim, G. and Mihai, A., An inequality on quaternionic CR-submanifolds, Ann. Univ. Ovidius Constan¸ta, XXVI (2018), no. 3, to appear.
  • [6] Nash, J. F., The imbedding problem for Riemannian manifolds, Ann. of Math. 63 (1956), 20-63.
  • [7] Oprea, T., Optimizations on Riemannian submanifolds, Analele Univ. Buc. LIV 1 (2005), 127-136.
  • [8] Sahin, B., On QR-submanifolds of a quaternionic space forms, Turkish J. Math. 25 (2001), 413-425.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Gabriel Macsim Bu kişi benim

Adela Mihai

Yayımlanma Tarihi 30 Kasım 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 11 Sayı: 2

Kaynak Göster

APA Macsim, G., & Mihai, A. (2018). A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. International Electronic Journal of Geometry, 11(2), 8-17. https://doi.org/10.36890/iejg.545112
AMA Macsim G, Mihai A. A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. Int. Electron. J. Geom. Kasım 2018;11(2):8-17. doi:10.36890/iejg.545112
Chicago Macsim, Gabriel, ve Adela Mihai. “A δ-Invariant for QR-Submanifolds in Quaternion Space Forms”. International Electronic Journal of Geometry 11, sy. 2 (Kasım 2018): 8-17. https://doi.org/10.36890/iejg.545112.
EndNote Macsim G, Mihai A (01 Kasım 2018) A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. International Electronic Journal of Geometry 11 2 8–17.
IEEE G. Macsim ve A. Mihai, “A δ-Invariant for QR-Submanifolds in Quaternion Space Forms”, Int. Electron. J. Geom., c. 11, sy. 2, ss. 8–17, 2018, doi: 10.36890/iejg.545112.
ISNAD Macsim, Gabriel - Mihai, Adela. “A δ-Invariant for QR-Submanifolds in Quaternion Space Forms”. International Electronic Journal of Geometry 11/2 (Kasım 2018), 8-17. https://doi.org/10.36890/iejg.545112.
JAMA Macsim G, Mihai A. A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. Int. Electron. J. Geom. 2018;11:8–17.
MLA Macsim, Gabriel ve Adela Mihai. “A δ-Invariant for QR-Submanifolds in Quaternion Space Forms”. International Electronic Journal of Geometry, c. 11, sy. 2, 2018, ss. 8-17, doi:10.36890/iejg.545112.
Vancouver Macsim G, Mihai A. A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. Int. Electron. J. Geom. 2018;11(2):8-17.

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