Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 15 (2020), 217 -- 223

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This work is licensed under a Creative Commons Attribution 4.0 International License.

NEW ASPECTS OF TWO HESSIAN-RIEMANNIAN METRICS IN PLANE

Mircea Crâșmăreanu

Abstract. Due to the importance of Hessian structures we express some algebraic and geo\-me\-tric features of two such semi-Riemannian metrics in dimension two. For this purpose we use the separable coordinate systems of the Euclidean plane. Several properties are expressed with the Pauli matrices and their associated quadratic forms.

2020 Mathematics Subject Classification: 53C15; 53C25; 53C21.
Keywords: Hessian structure; Euclidean plane; separable coordinates systems; Pauli matrices.

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Mircea Crâșmăreanu
Faculty of Mathematics, University "Al. I. Cuza",
Iaşi, 700506, România.
e-mail: mcrasm@uaic.ro
http://www.math.uaic.ro/~mcrasm

http://www.utgjiu.ro/math/sma