Dergiler / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 2

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

Sayfa
8–17
Yayın Tarihi
2018-11-30
DOI
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MACSİM, G., MİHAİ, A. (2018). A δ-Invariant for QR-Submanifolds in Quaternion Space Forms. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 2, 8–17. https://ajindex.com/articles/672087

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Kaynakça (8)

  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.