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Year 2017, Volume: 13 Issue: 2, 565 - 577, 30.06.2017

Yunus Özdemir

https://doi.org/10.18466/cbayarfbe.320017

Abstract

References

  • [1] Harvey, R.; Lawson, H.B. Calibrated Geometries. Acta Math. 1982; 148, 47-157.
  • [2] Bryant, R.L. Metrics with exceptional holonomy. Anals of Math. 1986; 126, 525-576.
  • [3] Joyce, D.D. Compact Manifolds with special holonomy. Oxford University Press, 2000.
  • [4] Koçak, Ş.; Özdemir, Y. Strong 2-Calibrations on R^2n. Kodai Mathematical Journal. 2011; 34, 31-41.
  • [5] Trautman, A. Solution of the Maxwell and Young-Mills equations associated with Hopf fiberings. Int. J. Theor. Phys. 1977; 16, 561-565.
  • [6] Grossmann, B.; Kephart, T.W.; Stasheff, J.D. Solutions to Young-Mills field equations in eight dimensions and the last Hopf map. Comm. Math. Phys. 1984; 96, 431-437.
  • [7] Corrigan E.; Devchand C.; Fairlie D.; Nuyts J. First order equations for gauge fields in spaces of dimensions greater than four. Nucl. Phys. B. 1983; 214, 452-464.
  • [8] Bilge, A.H.; Dereli, T.; Koçak, Ş. Self-Dual Young-Mills fields in eight dimensions. Lett. Math. Phys. 1996; 36 (3), 301-309.
  • [9] Özdemir, F.; Bilge, A.H. Self-duality in dimensions 2n>4: equivalence of various definitions and the derivation of the octonionic instanton solution. ARI. 1999; 51 (4), 247-253.
  • [10] Harvey, R.; Dadok, J.; Morgan, F. Calibrations on R^8. Trans. AMS. 1988; 307, 1-40.
  • [11] Dadok, J; Harvey, R. Calibrations on R^6. Duke Math. J. 1983; 50 (4), 1231-1243.
  • [12] Harvey, R. Spinors and Calibrations. Academic Press, New York, 1990.
  • [13] Baez, J.C. The octonions. Bull. Am. Math. Soc. 2002; 39, 145-205.

R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine

Year 2017, Volume: 13 Issue: 2, 565 - 577, 30.06.2017

Yunus Özdemir

https://doi.org/10.18466/cbayarfbe.320017

Abstract


Bu çalışmada, temel
olarak çift boyutlu Öklidyen uzayda, kendine duallik, kalibrasyon ve normlu dualite
kavramları arasındaki ilişkiler incelenmiştir. Kuvvetli kendine dual 2-form ve kuvvetli
2-kalibrasyon kavramları arasındaki ilişki net bir şekilde ortaya konulmuştur. Esas
olarak, normlu dualite kavramı üzerinde detaylıca durulmuş ve bu yeni kavram kuvvetli
2-kalibrasyonların karakterizasyonu için kullanılmıştır.

Keywords

Calibration normed duality self duality strong calibration strong self duality Kalibrasyon kendine duallik kuvvetli kalibrasyon kuvvetli kendine duallik normlu dualite

References

  • [1] Harvey, R.; Lawson, H.B. Calibrated Geometries. Acta Math. 1982; 148, 47-157.
  • [2] Bryant, R.L. Metrics with exceptional holonomy. Anals of Math. 1986; 126, 525-576.
  • [3] Joyce, D.D. Compact Manifolds with special holonomy. Oxford University Press, 2000.
  • [4] Koçak, Ş.; Özdemir, Y. Strong 2-Calibrations on R^2n. Kodai Mathematical Journal. 2011; 34, 31-41.
  • [5] Trautman, A. Solution of the Maxwell and Young-Mills equations associated with Hopf fiberings. Int. J. Theor. Phys. 1977; 16, 561-565.
  • [6] Grossmann, B.; Kephart, T.W.; Stasheff, J.D. Solutions to Young-Mills field equations in eight dimensions and the last Hopf map. Comm. Math. Phys. 1984; 96, 431-437.
  • [7] Corrigan E.; Devchand C.; Fairlie D.; Nuyts J. First order equations for gauge fields in spaces of dimensions greater than four. Nucl. Phys. B. 1983; 214, 452-464.
  • [8] Bilge, A.H.; Dereli, T.; Koçak, Ş. Self-Dual Young-Mills fields in eight dimensions. Lett. Math. Phys. 1996; 36 (3), 301-309.
  • [9] Özdemir, F.; Bilge, A.H. Self-duality in dimensions 2n>4: equivalence of various definitions and the derivation of the octonionic instanton solution. ARI. 1999; 51 (4), 247-253.
  • [10] Harvey, R.; Dadok, J.; Morgan, F. Calibrations on R^8. Trans. AMS. 1988; 307, 1-40.
  • [11] Dadok, J; Harvey, R. Calibrations on R^6. Duke Math. J. 1983; 50 (4), 1231-1243.
  • [12] Harvey, R. Spinors and Calibrations. Academic Press, New York, 1990.
  • [13] Baez, J.C. The octonions. Bull. Am. Math. Soc. 2002; 39, 145-205.
There are 13 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Yunus Özdemir

Publication Date June 30, 2017
Published in Issue Year 2017 Volume: 13 Issue: 2

Cite

APA Özdemir, Y. (2017). R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine. Celal Bayar University Journal of Science, 13(2), 565-577. https://doi.org/10.18466/cbayarfbe.320017
AMA Özdemir Y. R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine. CBUJOS. June 2017;13(2):565-577. doi:10.18466/cbayarfbe.320017
Chicago Özdemir, Yunus. “R2n’de Kendine Duallik, Kalibrasyon Ve Normlu Dualite Kavramları Üzerine”. Celal Bayar University Journal of Science 13, no. 2 (June 2017): 565-77. https://doi.org/10.18466/cbayarfbe.320017.
EndNote Özdemir Y (June 1, 2017) R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine. Celal Bayar University Journal of Science 13 2 565–577.
IEEE Y. Özdemir, “R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine”, CBUJOS, vol. 13, no. 2, pp. 565–577, 2017, doi: 10.18466/cbayarfbe.320017.
ISNAD Özdemir, Yunus. “R2n’de Kendine Duallik, Kalibrasyon Ve Normlu Dualite Kavramları Üzerine”. Celal Bayar University Journal of Science 13/2 (June 2017), 565-577. https://doi.org/10.18466/cbayarfbe.320017.
JAMA Özdemir Y. R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine. CBUJOS. 2017;13:565–577.
MLA Özdemir, Yunus. “R2n’de Kendine Duallik, Kalibrasyon Ve Normlu Dualite Kavramları Üzerine”. Celal Bayar University Journal of Science, vol. 13, no. 2, 2017, pp. 565-77, doi:10.18466/cbayarfbe.320017.
Vancouver Özdemir Y. R2n’de Kendine Duallik, Kalibrasyon ve Normlu Dualite Kavramları Üzerine. CBUJOS. 2017;13(2):565-77.