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Aminian, Mehran, Namjoo, Mehran. (1403). Characteristics of T--conformal mappings. سامانه مدیریت نشریات علمی, 5(1), 97-114. doi: 10.22098/jfga.2024.14548.1115
Mehran Aminian; Mehran Namjoo. "Characteristics of T--conformal mappings". سامانه مدیریت نشریات علمی, 5, 1, 1403, 97-114. doi: 10.22098/jfga.2024.14548.1115
Aminian, Mehran, Namjoo, Mehran. (1403). 'Characteristics of T--conformal mappings', سامانه مدیریت نشریات علمی, 5(1), pp. 97-114. doi: 10.22098/jfga.2024.14548.1115
Aminian, Mehran, Namjoo, Mehran. Characteristics of T--conformal mappings. سامانه مدیریت نشریات علمی, 1403; 5(1): 97-114. doi: 10.22098/jfga.2024.14548.1115

Characteristics of T--conformal mappings

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 97-114    اصل مقاله (381.03 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14548.1115
نویسندگان
Mehran Aminian* ؛ Mehran Namjoo
Department of Mathematics‎, ‎Vali-e-Asr University of Rafsanjan‎, ‎Rafsanjan‎, ‎Iran
چکیده
In this paper, we introduce the notion of T-conformal transformations and T-conformal maps between Riemannian manifolds. Here, T stands for a smooth (1,1)-tensor field defined on the domain of these maps. We start by defining what it means for a map to be T-conformal and also dwell on some basic properties of such type maps. We next specialize our discussion to the situation when the map T satisfies the condition ∇T = 0. Accordingly, we prove Liouville's theorem for T-conformal maps between space forms Rn(c) as an application under the condition ∇T = 0. The proof relies upon properties of T-conformal maps proved earlier. Broadly, the paper seeks to provide a general understanding of conformal mappings in the presence of a tensor field T and show how classical results such as Liouville's theorem apply.
کلیدواژه‌ها
Conformal map؛ isometry؛ (1؛ 1)–tensor field
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