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Year 2020, Volume: 16 Issue: 3, 339 - 343, 29.09.2020
https://doi.org/10.18466/cbayarfbe.683771

Abstract

References

  • 1. Akyol, MA, Sahin, B. 2016. Conformal anti-invariant submersions from almost Hermitian manifolds. Turkish Journal of Mathematics.; 40: 43-70.
  • 2. Akyol, MA, Gündüzalp, Y. 2016. Hemi-slant submersions from almost product Riemannian manifolds. Gulf Journal of Mathematics; 4(3): 15-27.
  • 3. Alqahtani, LS, Stankovic, MS, Uddin, S. 2017. Warped Product Bi-slant Submanifolds of Cosymplectic Manifolds. Filomat; 31(16): 5065-5071.
  • 4. Aykurt Sepet, S, Ergüt, M. 2016. Pointwise slant submersions from cosymplectic manifolds. Turkish Journal of Mathematics; 40: 582-593.
  • 5. Baird, P, Wood, JC. Harmonic morphisms between Riemannian manifolds. London Mathematical Society Monographs, Oxford University Press, Oxford 2003.
  • 6. Cabrerizo, JL, Carriazo, A, Fernandez, LM, Fernandez, M. 1999. Slant Submanifolds in Sasakian Manifolds. Geometriae Dedicata; 183-199.
  • 7. Carriazo, A. “Bi-slant Immersions,” In Proceeding of the ICRAMS, 2000, 88-97.
  • 8. Falcitelly, M, Ianus, S, Pastore, AM. Riemannian Submersions and Related Topics, World Scientific, River Edge, NJ, 2004.
  • 9. Gray, A. 1967. Pseudo-Riemannian almost product manifolds and submersions. Journal of Mathematics and Mechanics.; 16: 715-737.
  • 10. Gündüzalp, Y. 2013. Slant submersions from almost product Riemannian manifolds. Turkish Journal of Mathematics.; 37: 863-873.
  • 11. Gündüzalp, Y. 2016. Semi-slant submersions from almost product Riemannian manifolds. Demonstratio Mathematica; 49(3): 345-356.
  • 12. Lee, JW, Sahin, B. 2014. Pointwise slant submersions. Bulletin of the Korean Mathematical Society; 51(4): 1115-1126.
  • 13. O’Neill, B. 1966. The fundamental equations of a submersion. Michigan Mathematical Journal.; 13: 458-469.
  • 14. Park, KS, Prasad, R. 2013. Semi-slant submersions. Bulletin of the Korean Mathematical Society; 50(3): 951-962.
  • 15. Şahin, B. 2010. Anti-invariant Riemannian submersions from almost Hermitian manifolds. Central European Journal of Mathematics; 8(3): 437-447.
  • 16. Şahin, B. 2011. Semi-invariant Riemannian submersions from almost Hermitian manifolds. Canadian Mathematical Bulletin; 56: 173-183.
  • 17. Şahin, B. 2011. Slant submersions from almost Hermitian manifolds. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie; 54(102): 93-105.
  • 18. Sayar, C, Taştan, HM, Özdemir, F, Tripathi, MM. 2020. Generic submersions from Kaehlerian Manifolds. Bulletin of the Malaysian Mathematical Sciences Society; 43: 809-831.
  • 19. Taştan HM, Şahin B, Yanan, Ş. 2016. Hemi-slant submersions. Mediterranean Journal of Mathematics; 13: 2171-2184.
  • 20. Tastan, HM. 2017. Lagrangian submersions from normal almost contact manifolds. Filomat; 31(12): 3885-3895.
  • 21. Uddin, S, Chen, BY, Al-Solamy, FR. 2017. Warped Product Bi-slant Immersions in Kaehler Manifolds. Mediterranean Journal of Mathematics; 14 (95).
  • 22. Watson, B. Almost Hermitian submersions. 1976. Journal of Differential Geometry; 11(1): 147-165.

Pointwise Bi-slant Submersions

Year 2020, Volume: 16 Issue: 3, 339 - 343, 29.09.2020
https://doi.org/10.18466/cbayarfbe.683771

Abstract

We study pointwise bi-slant submersions from almost Hermitian manifold onto Riemannian manifolds. We obtain necessary and sufficient conditions for the maps to have totally geodesic fibers. Also we examined the total geodesicity of such maps.

References

  • 1. Akyol, MA, Sahin, B. 2016. Conformal anti-invariant submersions from almost Hermitian manifolds. Turkish Journal of Mathematics.; 40: 43-70.
  • 2. Akyol, MA, Gündüzalp, Y. 2016. Hemi-slant submersions from almost product Riemannian manifolds. Gulf Journal of Mathematics; 4(3): 15-27.
  • 3. Alqahtani, LS, Stankovic, MS, Uddin, S. 2017. Warped Product Bi-slant Submanifolds of Cosymplectic Manifolds. Filomat; 31(16): 5065-5071.
  • 4. Aykurt Sepet, S, Ergüt, M. 2016. Pointwise slant submersions from cosymplectic manifolds. Turkish Journal of Mathematics; 40: 582-593.
  • 5. Baird, P, Wood, JC. Harmonic morphisms between Riemannian manifolds. London Mathematical Society Monographs, Oxford University Press, Oxford 2003.
  • 6. Cabrerizo, JL, Carriazo, A, Fernandez, LM, Fernandez, M. 1999. Slant Submanifolds in Sasakian Manifolds. Geometriae Dedicata; 183-199.
  • 7. Carriazo, A. “Bi-slant Immersions,” In Proceeding of the ICRAMS, 2000, 88-97.
  • 8. Falcitelly, M, Ianus, S, Pastore, AM. Riemannian Submersions and Related Topics, World Scientific, River Edge, NJ, 2004.
  • 9. Gray, A. 1967. Pseudo-Riemannian almost product manifolds and submersions. Journal of Mathematics and Mechanics.; 16: 715-737.
  • 10. Gündüzalp, Y. 2013. Slant submersions from almost product Riemannian manifolds. Turkish Journal of Mathematics.; 37: 863-873.
  • 11. Gündüzalp, Y. 2016. Semi-slant submersions from almost product Riemannian manifolds. Demonstratio Mathematica; 49(3): 345-356.
  • 12. Lee, JW, Sahin, B. 2014. Pointwise slant submersions. Bulletin of the Korean Mathematical Society; 51(4): 1115-1126.
  • 13. O’Neill, B. 1966. The fundamental equations of a submersion. Michigan Mathematical Journal.; 13: 458-469.
  • 14. Park, KS, Prasad, R. 2013. Semi-slant submersions. Bulletin of the Korean Mathematical Society; 50(3): 951-962.
  • 15. Şahin, B. 2010. Anti-invariant Riemannian submersions from almost Hermitian manifolds. Central European Journal of Mathematics; 8(3): 437-447.
  • 16. Şahin, B. 2011. Semi-invariant Riemannian submersions from almost Hermitian manifolds. Canadian Mathematical Bulletin; 56: 173-183.
  • 17. Şahin, B. 2011. Slant submersions from almost Hermitian manifolds. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie; 54(102): 93-105.
  • 18. Sayar, C, Taştan, HM, Özdemir, F, Tripathi, MM. 2020. Generic submersions from Kaehlerian Manifolds. Bulletin of the Malaysian Mathematical Sciences Society; 43: 809-831.
  • 19. Taştan HM, Şahin B, Yanan, Ş. 2016. Hemi-slant submersions. Mediterranean Journal of Mathematics; 13: 2171-2184.
  • 20. Tastan, HM. 2017. Lagrangian submersions from normal almost contact manifolds. Filomat; 31(12): 3885-3895.
  • 21. Uddin, S, Chen, BY, Al-Solamy, FR. 2017. Warped Product Bi-slant Immersions in Kaehler Manifolds. Mediterranean Journal of Mathematics; 14 (95).
  • 22. Watson, B. Almost Hermitian submersions. 1976. Journal of Differential Geometry; 11(1): 147-165.
There are 22 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Sezin Aykurt Sepet

Publication Date September 29, 2020
Published in Issue Year 2020 Volume: 16 Issue: 3

Cite

APA Aykurt Sepet, S. (2020). Pointwise Bi-slant Submersions. Celal Bayar University Journal of Science, 16(3), 339-343. https://doi.org/10.18466/cbayarfbe.683771
AMA Aykurt Sepet S. Pointwise Bi-slant Submersions. CBUJOS. September 2020;16(3):339-343. doi:10.18466/cbayarfbe.683771
Chicago Aykurt Sepet, Sezin. “Pointwise Bi-Slant Submersions”. Celal Bayar University Journal of Science 16, no. 3 (September 2020): 339-43. https://doi.org/10.18466/cbayarfbe.683771.
EndNote Aykurt Sepet S (September 1, 2020) Pointwise Bi-slant Submersions. Celal Bayar University Journal of Science 16 3 339–343.
IEEE S. Aykurt Sepet, “Pointwise Bi-slant Submersions”, CBUJOS, vol. 16, no. 3, pp. 339–343, 2020, doi: 10.18466/cbayarfbe.683771.
ISNAD Aykurt Sepet, Sezin. “Pointwise Bi-Slant Submersions”. Celal Bayar University Journal of Science 16/3 (September 2020), 339-343. https://doi.org/10.18466/cbayarfbe.683771.
JAMA Aykurt Sepet S. Pointwise Bi-slant Submersions. CBUJOS. 2020;16:339–343.
MLA Aykurt Sepet, Sezin. “Pointwise Bi-Slant Submersions”. Celal Bayar University Journal of Science, vol. 16, no. 3, 2020, pp. 339-43, doi:10.18466/cbayarfbe.683771.
Vancouver Aykurt Sepet S. Pointwise Bi-slant Submersions. CBUJOS. 2020;16(3):339-43.

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