BibTex RIS Kaynak Göster

HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE

Yıl 2014, Cilt: 2 Sayı: 1, 99 - 105, 01.06.2014
https://doi.org/10.36753/mathenot.207636

Öz

We consider some curvature conditions on the Pseudo projectivecurvature tensor P on a hypersurface in the semi-Euclidean space En+1. Wes prove that every pseudo projectively Ricci-semisymmetric hypersurface M satisfying the condition P · R = 0 is pseudosymmetric. We also consider thecondition P · S = 0 on hypersurfaces of the semi-Euclidean space En+1.s

Kaynakça

  • Abdalla B.E., Dillen F.A., A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Proc Amer Math Soc. 130, 1805.(2002).
  • Defever F., Deszcz R., Dhooghe, P., Verstraelen L., Yaprak S¸., On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature. Results in Math. 27, 227-236 (1995).
  • Deszcz R., On certain classes of hypersurfaces in space of constant curvature. Geometry and Topology of Submanifolds VIII, World .Sci., Singapore. 101-110 (1996).
  • Deszcz R.,Glogowska M., Some nonsemisymmetric Ricci-semisymmetric warped product hy- persurfaces. Pulb Inst Math Beograd (N.S.). 72, 81-93.(2002).
  • Deszcz R., On pseudosymmetric spaces. Bull Soc Belg Math Ser A. 44, 1-34.(1992).
  • Deszcz R., Verstraelen L.,Yaprak S¸., Hypersurfaces with pseudosymmetric Weyl ten- sor in conformally flat manifolds. Geometry and Topology of Submanifolds IX. Valenci- ennes/Lyon/Leuven: World Scientific Publishing. 131-77 (1997).
  • Dabrowska M., Defever F., Deszcz R. and Kowalczyk D., Semisymmetry and Ricci- semisymmetry for hypersurfaces semi-Euclidean spaces. Publ. Inst. Math. (Beograd) (N.S.) 67, 103–111 (2000).
  • ¨Ozg¨ur C., Hypersurfaces satisfying some curvature conditions in the semi-Euclidean space. Chaos, Solitons and Fractals. 39, 2457-2464.(2009).
  • ¨Ozg¨ur, C., Arslan, K., On some class of hypersurfaces in En+1satisfying Chen’s equality. Turkish J. Math. 26, 283–293 (2002). [10] ¨Ozg¨ur, C., Arslan, K., Murathan, C., Conharmonically semi-parallel hypersurfaces. Proceed- ings of the Centennial ”G. Vranceanu”, Part II (Bucharest, 2000). An. Univ. Bucure¸sti Mat. Inform. 50, 121–132 (2001).
  • Prasad B., A pseudo projective curvature tensor on a Riemannian manifold, Bull. Calcutta Math. Soc. 94, 163-166 (2002).
  • Szabo ZI., Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. local version J. Diff. Geom. 17, 531-82 (1982).
  • Isiklar Air Force High School. Bursa-TURKEY
Yıl 2014, Cilt: 2 Sayı: 1, 99 - 105, 01.06.2014
https://doi.org/10.36753/mathenot.207636

Öz

Kaynakça

  • Abdalla B.E., Dillen F.A., A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric. Proc Amer Math Soc. 130, 1805.(2002).
  • Defever F., Deszcz R., Dhooghe, P., Verstraelen L., Yaprak S¸., On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature. Results in Math. 27, 227-236 (1995).
  • Deszcz R., On certain classes of hypersurfaces in space of constant curvature. Geometry and Topology of Submanifolds VIII, World .Sci., Singapore. 101-110 (1996).
  • Deszcz R.,Glogowska M., Some nonsemisymmetric Ricci-semisymmetric warped product hy- persurfaces. Pulb Inst Math Beograd (N.S.). 72, 81-93.(2002).
  • Deszcz R., On pseudosymmetric spaces. Bull Soc Belg Math Ser A. 44, 1-34.(1992).
  • Deszcz R., Verstraelen L.,Yaprak S¸., Hypersurfaces with pseudosymmetric Weyl ten- sor in conformally flat manifolds. Geometry and Topology of Submanifolds IX. Valenci- ennes/Lyon/Leuven: World Scientific Publishing. 131-77 (1997).
  • Dabrowska M., Defever F., Deszcz R. and Kowalczyk D., Semisymmetry and Ricci- semisymmetry for hypersurfaces semi-Euclidean spaces. Publ. Inst. Math. (Beograd) (N.S.) 67, 103–111 (2000).
  • ¨Ozg¨ur C., Hypersurfaces satisfying some curvature conditions in the semi-Euclidean space. Chaos, Solitons and Fractals. 39, 2457-2464.(2009).
  • ¨Ozg¨ur, C., Arslan, K., On some class of hypersurfaces in En+1satisfying Chen’s equality. Turkish J. Math. 26, 283–293 (2002). [10] ¨Ozg¨ur, C., Arslan, K., Murathan, C., Conharmonically semi-parallel hypersurfaces. Proceed- ings of the Centennial ”G. Vranceanu”, Part II (Bucharest, 2000). An. Univ. Bucure¸sti Mat. Inform. 50, 121–132 (2001).
  • Prasad B., A pseudo projective curvature tensor on a Riemannian manifold, Bull. Calcutta Math. Soc. 94, 163-166 (2002).
  • Szabo ZI., Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. local version J. Diff. Geom. 17, 531-82 (1982).
  • Isiklar Air Force High School. Bursa-TURKEY
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

YUSUF Doğru Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Gönderilme Tarihi 9 Mart 2015
Yayımlandığı Sayı Yıl 2014 Cilt: 2 Sayı: 1

Kaynak Göster

APA Doğru, Y. (2014). HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE. Mathematical Sciences and Applications E-Notes, 2(1), 99-105. https://doi.org/10.36753/mathenot.207636
AMA Doğru Y. HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE. Math. Sci. Appl. E-Notes. Haziran 2014;2(1):99-105. doi:10.36753/mathenot.207636
Chicago Doğru, YUSUF. “HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE”. Mathematical Sciences and Applications E-Notes 2, sy. 1 (Haziran 2014): 99-105. https://doi.org/10.36753/mathenot.207636.
EndNote Doğru Y (01 Haziran 2014) HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE. Mathematical Sciences and Applications E-Notes 2 1 99–105.
IEEE Y. Doğru, “HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE”, Math. Sci. Appl. E-Notes, c. 2, sy. 1, ss. 99–105, 2014, doi: 10.36753/mathenot.207636.
ISNAD Doğru, YUSUF. “HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE”. Mathematical Sciences and Applications E-Notes 2/1 (Haziran 2014), 99-105. https://doi.org/10.36753/mathenot.207636.
JAMA Doğru Y. HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE. Math. Sci. Appl. E-Notes. 2014;2:99–105.
MLA Doğru, YUSUF. “HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE”. Mathematical Sciences and Applications E-Notes, c. 2, sy. 1, 2014, ss. 99-105, doi:10.36753/mathenot.207636.
Vancouver Doğru Y. HYPERSURFACES SATISFYING SOME CURVATURE CONDITIONS ON PSEUDO PROJECTIVE CURVATURE TENSOR IN THE SEMI-EUCLIDEAN SPACE. Math. Sci. Appl. E-Notes. 2014;2(1):99-105.

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