Semantic Scholar Open Access 2009 5 sitasi

Intrinsic theory of projective changes in Finsler geometry

N. L. Youssef S. H. Abed A. Soleiman

Lihat Sumber DOI

Abstrak

The aim of the present paper is to provide an intrinsic investigation of projective changes in Finsler geometry, following the pullback formalism. Various known local results are generalized and other new intrinsic results are obtained. Nontrivial characterizations of projective changes are given. The fundamental projectively invariant tensors, namely, the projective deviation tensor, the Weyl torsion tensor, the Weyl curvature tensor and the Douglas tensor are investigated. The properties of these tensors and their interrelationships are obtained. Projective connections and projectively flat manifolds are characterized. The present work is entirely intrinsic (free from local coordinates) (arXiv:0904.1602 [math.DG]).

Topik & Kata Kunci

Mathematics Physics

Penulis (3)

N. L. Youssef

S. H. Abed

A. Soleiman

Format Sitasi

APA MLA BibTeX

Youssef, N.L., Abed, S.H., Soleiman, A. (2009). Intrinsic theory of projective changes in Finsler geometry. https://doi.org/10.1007/s12215-011-0051-5

Akses Cepat

Lihat di Sumber doi.org/10.1007/s12215-011-0051-5

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Total Sitasi: 5×
Sumber Database: Semantic Scholar
DOI: 10.1007/s12215-011-0051-5
Akses: Open Access ✓