SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

İsmet Ayhan

doi:10.29233/sdufeffd.134628

SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

Abstract

Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden hesaplandı. Anahtar Kelimeler: Semi-Riemann metrik, Double tanjant demet, Levi-Civita koneksiyonu, Lie Parantez operatörü THE DIFFERENTIAL GEOMETRY OF DOUBLE TANGENT BUNDLE WITH SEMI-RIEMANNIAN METRIC Abstract: In this paper, it is shown that , which is obtained in term of the second order the complete lift of a semi-Riemannian metric on a differentiable manifold, is a semi-Riemannian metric and it is calculated the connection coefficients of the Levi-Civita connection of the this metric. Keywords: Semi-Riemannian metric, The double tangent bundle, Levi-Civita connection, Lie bracket operator Mathematics Subject Clasifications (2000): 53C07, 53C50

Keywords

Semi-Riemann metrik, Double tanjant demet, Levi-Civita koneksiyonu, Lie Parantez operatörü

References

AYHAN, İ., 1997. Derivasyonlar ve tensör alanlarının ikinci mertebeden liftleri, Yüksek Lisans Tezi, PAÜ, Fen Bilimleri Enstitüsü, Denizli, 67s
AYHAN, İ., ÇÖKEN, A., C., CİVELEK, Ş., 2005. Tanjant demet üzerindeki horizontal liftler, III. Geometri Sempozyumu, Osmangazi Üniversitesi, 4-6 Temmuz 2005, Eskişehir
AYHAN, İ., 2006. Semi-Riemann manifoldların tanjant ve kotanjant demetlerinin geometrisi üzerine, Doktora Tezi, S.D.Ü, Fen Bilimleri Enstitüsü, Isparta, 142s
ESİN, E., CİVELEK, Ş., 1989. The lifts on the second order tangent bundles, Jour. Mathematics and Stattics Faculty of Arts and Science. Gazi University, Vol.2, 117-135
OPROIU, V., PAPAGHIUC, N., 1998. On the geometry of tangent bundle of a (pseudo)-Riemannian manifold, Annale Stiint. University Al. I. Cuza Iasi, Ser. Noua, Mat., 36, No.3, 265-276
YANO, K., ISHIHARA, S., 1973. Tangent and Cotangent Bundles, Marcel Decker. Inc., New York, 392p,

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

İsmet Ayhan This is me

Publication Date

December 1, 2007

Submission Date

February 25, 2009

Acceptance Date

-

Published in Issue

Year 2007 Volume: 2 Number: 2

DOI

https://doi.org/10.29233/sdufeffd.134628

IZ

https://izlik.org/JA64XZ47PE

Cite

RIS / Bibtex

APA

Ayhan, İ. (2007). SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 2(2), 228-235. https://doi.org/10.29233/sdufeffd.134628

AMA

1.Ayhan İ. SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007;2(2):228-235. doi:10.29233/sdufeffd.134628

Chicago

Ayhan, İsmet. 2007. “SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2 (2): 228-35. https://doi.org/10.29233/sdufeffd.134628.

EndNote

Ayhan İ (December 1, 2007) SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2 2 228–235.

IEEE

[1]İ. Ayhan, “SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 2, no. 2, pp. 228–235, Dec. 2007, doi: 10.29233/sdufeffd.134628.

ISNAD

Ayhan, İsmet. “SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2/2 (December 1, 2007): 228-235. https://doi.org/10.29233/sdufeffd.134628.

JAMA

1.Ayhan İ. SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007;2:228–235.

MLA

Ayhan, İsmet. “SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 2, no. 2, Dec. 2007, pp. 228-35, doi:10.29233/sdufeffd.134628.

Vancouver

1.İsmet Ayhan. SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007 Dec. 1;2(2):228-35. doi:10.29233/sdufeffd.134628