A horizontal endomorphism of the canonical superspray

Esmaeil AZİZPOUR; Mohammad Hassan ZARİFİ

doi:https://doi.org/10.33401/fujma.404797

Makale detayları

A horizontal endomorphism of the canonical superspray

Yazarlar:

Esmaeil AZİZPOUR | Mohammad Hassan ZARİFİ

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.18-24

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000422225

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.404797

Özet:

 


Giving up the homogeneity condition of a Lagrange superfunction, we prove that there is a unique horizontal endomorphism hhh (nonlinear connection) on a supermanifold M,M,{\mathcal{M}}, such that hhh is conservative and its torsion vanishes. There are several examples for nonhomogeneous Lagrangians such that this result is not true.

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Makale detayları

A horizontal endomorphism of the canonical superspray

Yazarlar: Esmaeil AZİZPOUR | Mohammad Hassan ZARİFİ

Yayıncı: Fuat USTA

Ana Başlıklar: Matematik

Dergi: Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.18-24

Belge Tipi: Makale

Yayın Tarihi: 6/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000422225

pISSN: 2645-8845

DOI: https://doi.org/10.33401/fujma.404797

Sayı

Yazarlar:

Esmaeil AZİZPOUR | Mohammad Hassan ZARİFİ

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 1, pp.18-24

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000422225

pISSN:

2645-8845

DOI:

https://doi.org/10.33401/fujma.404797