Araştırma Makalesi
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A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

Yıl 2021, Cilt: 4 Sayı: 1, 25 - 33, 31.01.2021
https://doi.org/10.33773/jum.876269

Öz

We study GCR-lightlike submanifolds of semi-Riemannian product manifolds. We give some equivalent conditions for the integrability of various distributions of GCR-lightlike submanifolds of semi-Riemannian product manifolds and investigate the geometry of leaves of distributions.

Kaynakça

  • Atçeken, M. and Kılıç, E. Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifol, Kodai Math. J. Vol. 30, No. 3, (2007), pp. 361-378
  • Doğan, B., ¸Sahin, B., & Yaşar, E. (2019). Screen Generic Lightlike Submanifolds. Mediterranean Journal of Mathematics, 16(4), 104.
  • Duggal, K. L., Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Academic Publishers, Dordrecht (1996)
  • Duggal, K. L., Şahin B.: Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hung. 106(1-2), 125–153 (2005)
  • Duggal, K. L., Şahin B.: Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds. Acta Math. Hung. 112(1-2), 107-130 (2006)
  • Duggal, K. L., Şahin, B.: Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds. Acta Math. Hung. 122(1-2), 45-58 (2009)
  • Duggal, K. L., Şahin B.: Di¤erential Geometry of Lightlike Submanifolds. Birkhäuser, Basel (2010)
  • Gupta, R.S., Sharfuddin, A.: Generalised Cauchy-Riemann lightlike submanifolds of indefinite Kenmotsu manifolds. Note di Matematica 30(2), 49-60 (2011).
  • Gupta, R.S., Upadhyay, A., Sharfuddin, A.: Generalised Cauchy-Riemann lightlike submanifolds of inde…nite cosymplectic manifolds. An. ¸Stiin¸t. Univ. Al. I. CuzaIa¸si. Mat. (N.S.), 58(2), 381-394 (2012).
  • Khursheed Haider S. M., Thakur, M. and Advin, Screen Cauchy-Riemann lightlike submanifolds of a semi-Riemannian product manifold, Int. Electron. J. Geom. 4, no. 2, 141-155, (2011)
  • Kılıç, E., & Şahin, B. Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds. Turkish Journal of Mathematics, 32(4), 429-449,(2008).
  • Kılıç, E., Şahin, B. and Keleş, S., Screen semi-invariant lightlike submanifolds of a semi-Riemannian product manifolds, Int. Electron. J. Geom. 4 , 120-135, (2011).
  • Kumar, R., Jain, V., Nagaich, R. K., GCR-lightlike product of inde…nite Sasakian manifolds. Advances in Mathematical Physics, 2011, Article ID 983069, 1-13 (2011)
  • Kumar, R., Kumar, S., & Nagaich, R. K. Integrability of distributions in GCR-lightlike submanifolds of inde…nite Kaehler manifolds. Communications of the Korean Mathematical Society, 27(3), 591-602, (2012).
  • Kumar, S., Kumar, R., Nagaich, R. K.: GCR-lightlike submanifolds of a semi-Riemannian product manifold. Bull. Korean Math. Soc. 51(3), 883-899 (2014)
  • D. N. Kupeli, Singular Semi-Riemannian Geometry, vol. 366, Kluwer, Dordrecht, 1996.
  • Perkta¸s, S. Y., Kılıç, E., Keleş, S., Warped product submanifolds of Lorentzian paracosymplectic manifolds. Arabian Journal of Mathematics, 1(3), 377-393, (2012).
  • Poyraz, N. Ö. Golden GCR-Lightlike Submanifolds of Golden Semi-Riemannian Manifolds. Mediterranean Journal of Mathematics, 17(5), 1-16 (2020).
  • Senlin, X. and Yilong, N., Submanifolds of Product Riemannian Manifold. Acta Mathematica Scientia, 20(B), 213-218, (2000).
  • Şahin, B. Lightlike submanifolds of indefinite quaternion Kaehler manifolds. Demonstratio Mathematica, 40(3), 701-720, (2007).
Yıl 2021, Cilt: 4 Sayı: 1, 25 - 33, 31.01.2021
https://doi.org/10.33773/jum.876269

Öz

Kaynakça

  • Atçeken, M. and Kılıç, E. Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifol, Kodai Math. J. Vol. 30, No. 3, (2007), pp. 361-378
  • Doğan, B., ¸Sahin, B., & Yaşar, E. (2019). Screen Generic Lightlike Submanifolds. Mediterranean Journal of Mathematics, 16(4), 104.
  • Duggal, K. L., Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Kluwer Academic Publishers, Dordrecht (1996)
  • Duggal, K. L., Şahin B.: Screen Cauchy Riemann lightlike submanifolds. Acta Math. Hung. 106(1-2), 125–153 (2005)
  • Duggal, K. L., Şahin B.: Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds. Acta Math. Hung. 112(1-2), 107-130 (2006)
  • Duggal, K. L., Şahin, B.: Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds. Acta Math. Hung. 122(1-2), 45-58 (2009)
  • Duggal, K. L., Şahin B.: Di¤erential Geometry of Lightlike Submanifolds. Birkhäuser, Basel (2010)
  • Gupta, R.S., Sharfuddin, A.: Generalised Cauchy-Riemann lightlike submanifolds of indefinite Kenmotsu manifolds. Note di Matematica 30(2), 49-60 (2011).
  • Gupta, R.S., Upadhyay, A., Sharfuddin, A.: Generalised Cauchy-Riemann lightlike submanifolds of inde…nite cosymplectic manifolds. An. ¸Stiin¸t. Univ. Al. I. CuzaIa¸si. Mat. (N.S.), 58(2), 381-394 (2012).
  • Khursheed Haider S. M., Thakur, M. and Advin, Screen Cauchy-Riemann lightlike submanifolds of a semi-Riemannian product manifold, Int. Electron. J. Geom. 4, no. 2, 141-155, (2011)
  • Kılıç, E., & Şahin, B. Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds. Turkish Journal of Mathematics, 32(4), 429-449,(2008).
  • Kılıç, E., Şahin, B. and Keleş, S., Screen semi-invariant lightlike submanifolds of a semi-Riemannian product manifolds, Int. Electron. J. Geom. 4 , 120-135, (2011).
  • Kumar, R., Jain, V., Nagaich, R. K., GCR-lightlike product of inde…nite Sasakian manifolds. Advances in Mathematical Physics, 2011, Article ID 983069, 1-13 (2011)
  • Kumar, R., Kumar, S., & Nagaich, R. K. Integrability of distributions in GCR-lightlike submanifolds of inde…nite Kaehler manifolds. Communications of the Korean Mathematical Society, 27(3), 591-602, (2012).
  • Kumar, S., Kumar, R., Nagaich, R. K.: GCR-lightlike submanifolds of a semi-Riemannian product manifold. Bull. Korean Math. Soc. 51(3), 883-899 (2014)
  • D. N. Kupeli, Singular Semi-Riemannian Geometry, vol. 366, Kluwer, Dordrecht, 1996.
  • Perkta¸s, S. Y., Kılıç, E., Keleş, S., Warped product submanifolds of Lorentzian paracosymplectic manifolds. Arabian Journal of Mathematics, 1(3), 377-393, (2012).
  • Poyraz, N. Ö. Golden GCR-Lightlike Submanifolds of Golden Semi-Riemannian Manifolds. Mediterranean Journal of Mathematics, 17(5), 1-16 (2020).
  • Senlin, X. and Yilong, N., Submanifolds of Product Riemannian Manifold. Acta Mathematica Scientia, 20(B), 213-218, (2000).
  • Şahin, B. Lightlike submanifolds of indefinite quaternion Kaehler manifolds. Demonstratio Mathematica, 40(3), 701-720, (2007).
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Nergiz Poyraz

Yayımlanma Tarihi 31 Ocak 2021
Gönderilme Tarihi 7 Şubat 2021
Kabul Tarihi 13 Şubat 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 1

Kaynak Göster

APA Poyraz, N. (2021). A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Journal of Universal Mathematics, 4(1), 25-33. https://doi.org/10.33773/jum.876269
AMA Poyraz N. A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. JUM. Ocak 2021;4(1):25-33. doi:10.33773/jum.876269
Chicago Poyraz, Nergiz. “A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Journal of Universal Mathematics 4, sy. 1 (Ocak 2021): 25-33. https://doi.org/10.33773/jum.876269.
EndNote Poyraz N (01 Ocak 2021) A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Journal of Universal Mathematics 4 1 25–33.
IEEE N. Poyraz, “A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”, JUM, c. 4, sy. 1, ss. 25–33, 2021, doi: 10.33773/jum.876269.
ISNAD Poyraz, Nergiz. “A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Journal of Universal Mathematics 4/1 (Ocak 2021), 25-33. https://doi.org/10.33773/jum.876269.
JAMA Poyraz N. A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. JUM. 2021;4:25–33.
MLA Poyraz, Nergiz. “A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. Journal of Universal Mathematics, c. 4, sy. 1, 2021, ss. 25-33, doi:10.33773/jum.876269.
Vancouver Poyraz N. A STUDY ON GCR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. JUM. 2021;4(1):25-33.