Year 2025,
Volume: 18 Issue: 2, 462 - 474
Sedat Ayaz
,
Yılmaz Gündüzalp
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
Sedat Ayaz
,
Yılmaz Gündüzalp
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