Makale
Tam Makale
Uluslararası
2016
Golden-Hessian Structures
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
Cilt 86 · Sayı 1 · ss. 41–46 · 01.03.2016
Özet
Let (M, g) be an n-dimensional (pseudo)-Riemannian manifold and f : M -> R be a smooth function whose Hessian with respect to g is non-degenerate. One can define the associated (pseudo)-Riemannian Hessian metric h - del(2)f on M, where del is the Levi-Civita connection of g. In the present paper we investigate conditions under which the manifold M equipped with a (complex) golden structure and with the Hessian metric h is a (holomorphic) locally decomposable golden (Norden) Hessian manifold. Furthermore some examples are presented.
Anahtar kelimeler
Golden structure
pure tensor
GEOMETRY
Decomposable and holomorphic tensors
Hessian metric
INTEGRABILITY
RATIO
Atıf için künye
Gezer, A., & Karaman, Ç. (2016). Golden-Hessian Structures. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 86(1), 41–46. https://doi.org/10.1007/s40010-015-0226-0
BibTeX
@article{gezer2016-73727,
author = {Gezer, Aydın and Karaman, Çağrı},
title = {Golden-Hessian Structures},
journal = {PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES},
year = {2016},
volume = {86},
number = {1},
pages = {41--46},
issn = {0369-8203},
doi = {10.1007/s40010-015-0226-0},
url = {https://akademik.atauni.edu.tr/yayinlar/73727-golden-hessian-structures}
}