Research Article
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Year 2025, Volume: 18 Issue: 2, 462 - 474

Abstract

References

  • Akyol M.A., Beyendi S.: A note on Quasi bi-slant submanifolds of cosymplectic manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math Stat. 69 (2), 1508-1521 (2020). https://doi.org/10.31801/cfsuasmas.729545
  • Alegre P., Carriazo A.: Slant submanifolds of para Hermitian manifolds. Mediterr. J. Math. 14 (5), 214-221 (2017). https://doi.org/10.1007/s00009-017-1018-3
  • Arslan K., Ezentaş R., Mihai I., Murathan C., Özgür C.: Ricci curvature of submanifolds in kenmotsu space forms. International Journal of Mathematics and Mathematical Sciences, 29 (12), 719-726 (2002). https://doi.org/10.1155/S0161171202012863
  • Ayaz S., Gündüzalp Y.: Warped product pointwise hemi-slant submanifolds whose ambient spaces are nearly para-Kaehler manifolds. Turkish Journal of Mathematics, 48 (3), 477-497, (2024). https://doi.org/10.55730/1300-0098.3520
  • Cabrerizo J.L., Carriazo A., Fernandez L.M., Fernandez M.: Slant submanifolds in Sasakian manifolds. Glasg. Math. J. 42 (01) 125-138, (2000). https://doi.org/10.1017/S0017089500010156
  • Chen B. -Y.: Geometry of slant submanifolds. Katholieke Universiteit Leuven, (1990).
  • Chen B. -Y., Garay O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turk. J. Math. 36 (4), 630-640 (2012). https://doi.org/10.3906/mat-1101-34
  • Etayo F.: On quasi slant submanifold of an almost Hermitian manifolds. Publ. Math. Debrecen, 53 (1-2), 217-223 (1998).
  • Gündüzalp Y.: Neutral slant submanifolds of a para-Kaehler manifold. Hindawi Publishing Corporation Abstract and Applied Analysis, 2013 (2), 1-8 (2013). https://doi.org/10.1155/2013/752650
  • Gündüzalp Y.: Riemannian submersions from framed metric manifolds. International Electronic Journal of Geometry. 6 (1), 89-99 (2013).
  • Park K.S.: Pointwise slant and pointwise semi-slant submanifolds in almost contact metric manifolds. Mathematics, 8 (6), 985-1018 (2020). https://doi.org/10.3390/math8060985
  • Rozenfeld B.A.: On unitary and stratified spaces. Trudy Sem. Vektor. Tenzor. Anal. 7, 260-275 (1949).
  • Rashevskij P.K.: The scalar field in a stratified space. Trudy Sem. Vektor. Tenzor. Anal. 6, 225-248 (1948).
  • Sular S., Özgür C., Murathan C.: Pseudoparalell anti-invariant submanifolds of kenmotsu manifolds. Hacettepe Journal of Mathematics and Statics, 39 (4), 535-543 (2010).
  • Sahin B.: Slant submanifold of quaternion Kaehler manifolds. Commum. Korean Math. Soc. 22 (22), 123-135 (2007). https://doi.org/10.4134/CKMS.2007.22.1.123
  • Sahin B.: Warped product pointwise semi-slant submanifolds of Kaehler manifolds. Port. Math. 70 (3), 251-268 (2013). https://doi.org/10.4171/PM/1934

A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold

Year 2025, Volume: 18 Issue: 2, 462 - 474

Abstract

In this paper, pointwise slant and pointwise semi-slant submanifolds in para- Kaehler manifolds are studied. Some theorems and characterization for pointwise slant and pointwise semi-slant submanifolds are obtained. We also give some examples of pointwise slant and pointwise semi-slant submanifolds whose ambient space is a para-Kaehler manifold.

References

  • Akyol M.A., Beyendi S.: A note on Quasi bi-slant submanifolds of cosymplectic manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math Stat. 69 (2), 1508-1521 (2020). https://doi.org/10.31801/cfsuasmas.729545
  • Alegre P., Carriazo A.: Slant submanifolds of para Hermitian manifolds. Mediterr. J. Math. 14 (5), 214-221 (2017). https://doi.org/10.1007/s00009-017-1018-3
  • Arslan K., Ezentaş R., Mihai I., Murathan C., Özgür C.: Ricci curvature of submanifolds in kenmotsu space forms. International Journal of Mathematics and Mathematical Sciences, 29 (12), 719-726 (2002). https://doi.org/10.1155/S0161171202012863
  • Ayaz S., Gündüzalp Y.: Warped product pointwise hemi-slant submanifolds whose ambient spaces are nearly para-Kaehler manifolds. Turkish Journal of Mathematics, 48 (3), 477-497, (2024). https://doi.org/10.55730/1300-0098.3520
  • Cabrerizo J.L., Carriazo A., Fernandez L.M., Fernandez M.: Slant submanifolds in Sasakian manifolds. Glasg. Math. J. 42 (01) 125-138, (2000). https://doi.org/10.1017/S0017089500010156
  • Chen B. -Y.: Geometry of slant submanifolds. Katholieke Universiteit Leuven, (1990).
  • Chen B. -Y., Garay O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turk. J. Math. 36 (4), 630-640 (2012). https://doi.org/10.3906/mat-1101-34
  • Etayo F.: On quasi slant submanifold of an almost Hermitian manifolds. Publ. Math. Debrecen, 53 (1-2), 217-223 (1998).
  • Gündüzalp Y.: Neutral slant submanifolds of a para-Kaehler manifold. Hindawi Publishing Corporation Abstract and Applied Analysis, 2013 (2), 1-8 (2013). https://doi.org/10.1155/2013/752650
  • Gündüzalp Y.: Riemannian submersions from framed metric manifolds. International Electronic Journal of Geometry. 6 (1), 89-99 (2013).
  • Park K.S.: Pointwise slant and pointwise semi-slant submanifolds in almost contact metric manifolds. Mathematics, 8 (6), 985-1018 (2020). https://doi.org/10.3390/math8060985
  • Rozenfeld B.A.: On unitary and stratified spaces. Trudy Sem. Vektor. Tenzor. Anal. 7, 260-275 (1949).
  • Rashevskij P.K.: The scalar field in a stratified space. Trudy Sem. Vektor. Tenzor. Anal. 6, 225-248 (1948).
  • Sular S., Özgür C., Murathan C.: Pseudoparalell anti-invariant submanifolds of kenmotsu manifolds. Hacettepe Journal of Mathematics and Statics, 39 (4), 535-543 (2010).
  • Sahin B.: Slant submanifold of quaternion Kaehler manifolds. Commum. Korean Math. Soc. 22 (22), 123-135 (2007). https://doi.org/10.4134/CKMS.2007.22.1.123
  • Sahin B.: Warped product pointwise semi-slant submanifolds of Kaehler manifolds. Port. Math. 70 (3), 251-268 (2013). https://doi.org/10.4171/PM/1934
There are 16 citations in total.

Details

Primary Language English
Subjects Algebraic and Differential Geometry
Journal Section Research Article
Authors

Sedat Ayaz 0000-0002-8225-5503

Yılmaz Gündüzalp 0000-0002-0932-949X

Early Pub Date October 13, 2025
Publication Date October 14, 2025
Submission Date December 27, 2024
Acceptance Date September 15, 2025
Published in Issue Year 2025 Volume: 18 Issue: 2

Cite

APA Ayaz, S., & Gündüzalp, Y. (2025). A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold. International Electronic Journal of Geometry, 18(2), 462-474.
AMA Ayaz S, Gündüzalp Y. A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold. Int. Electron. J. Geom. October 2025;18(2):462-474.
Chicago Ayaz, Sedat, and Yılmaz Gündüzalp. “A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold”. International Electronic Journal of Geometry 18, no. 2 (October 2025): 462-74.
EndNote Ayaz S, Gündüzalp Y (October 1, 2025) A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold. International Electronic Journal of Geometry 18 2 462–474.
IEEE S. Ayaz and Y. Gündüzalp, “A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold”, Int. Electron. J. Geom., vol. 18, no. 2, pp. 462–474, 2025.
ISNAD Ayaz, Sedat - Gündüzalp, Yılmaz. “A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold”. International Electronic Journal of Geometry 18/2 (October2025), 462-474.
JAMA Ayaz S, Gündüzalp Y. A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold. Int. Electron. J. Geom. 2025;18:462–474.
MLA Ayaz, Sedat and Yılmaz Gündüzalp. “A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold”. International Electronic Journal of Geometry, vol. 18, no. 2, 2025, pp. 462-74.
Vancouver Ayaz S, Gündüzalp Y. A Note on Pointwise Semi-Slant Submanifolds in a Para-Kaehler Manifold. Int. Electron. J. Geom. 2025;18(2):462-74.