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Relevant bibliographies by topics / Projection on indicatrix

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Journal articles

Academic literature on the topic 'Projection on indicatrix'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Projection on indicatrix"

1

Vattamány, Sz. "Projection onto the indicatrix bundle of a Finsler manifold." Publicationes Mathematicae Debrecen 58, no. 1-2 (2001): 193–221. http://dx.doi.org/10.5486/pmd.2001.2342.

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2

Abdalstar, A. Saleem Alaa A. Abdallah and Ammar Z. Hussein. "Study on Generalized U_(|l|m) - Birecurrent Finsler Space." International Journal of Advanced Scientific and Technical Research 15, no. 2 (2025): 15–27. https://doi.org/10.5281/zenodo.15369382.

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<strong>Abstract: </strong>In this paper, we got the necessary and sufficient condition for some tensors to be generalized birecurrent. The relationship between the curvature tensors have been studied. Also, some results in the projection on indicatrix with respect to Cartan connection have been discussed.  

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3

Saleem, Abdalstar Ali Mohsen. "On U–Trirecurrent Finsler Space." University of Aden Journal of Natural and Applied Sciences 28, no. 1 (2024): 13–20. http://dx.doi.org/10.47372/uajnas.2024.n1.a02.

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In the present paper, we introduce a Finsler space Fn for which the hv - curvature tensor satisfies the trirecurrent property in sense of Cartan. The relationship between hv - curvature tensor \(U_{jkh}^i\) and Douglas tensor \(D_{jkh}^i\) has been studied. We obtain the necessary and sufficient condition for some tensors to be trirecurrent .Finally, the trirecurrent property in a projection on indicatrix with respect to Cartan connection has been studied.

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4

Qasem, Fahmi Yaseen Abdo, and Amani Mohammed Abdullah Hanballa. "Study in \(P^h\)- Birecurrent Finsler space." University of Aden Journal of Natural and Applied Sciences 22, no. 2 (2018): 439–46. http://dx.doi.org/10.47372/uajnas.2018.n2.a16.

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In the present paper, a Finsler space Fn whose Cartan's second curvature tensor P\(_{jkh}^i\) satisfies \(P_{jkh|l|m}^i=a_{lm} P_{jkh}^i, P_{jkh}^i\) ≠0, where \(a_{lm}\) is non-zerocovariant tensor field of second order , is introduced and such space is called as Ph–birecurrentspace and denoted briefly by Ph–BR–Fn. The aim of this paper is to obtain some birecurrent tensors in this space. Also, we introduced Ricci birecurrent space. We proved the projection of some curvature tensors on indicatrix are birecurrent.

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5

Kopacz, Piotr. "ON GEOMETRIC PROPERTIES OF SPHERICAL CONICS AND GENERALIZATION OF Π IN NAVIGATION AND MAPPING". Geodesy and Cartography 38, № 4 (2012): 141–51. http://dx.doi.org/10.3846/20296991.2012.756995.

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First, we cover the conical curves on 2-dimensional modeling sphere S 2 showing their geometric properties affecting the hyperbolic navigation. We place emphasis on the geometric definition of spherical parabola and relate it to the notions of spherical ellipse and hyperbola and give simple geometric proofs for relations between conical curves on the sphere. In the second part of the paper function representing the ratio of the circle's circumference to its diameter has been defined and researched to analyze the potential discrepancies in the spherical and conical projective models on which th

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6

Popovicia, Elena. "On submersions of the complex indicatrix." Filomat 31, no. 16 (2017): 5081–92. http://dx.doi.org/10.2298/fil1716081p.

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In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a K?hler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one, using the submanifold formulae and the fundamental equations. As a result, the complex indicatrix is an extrinsic sphere of the holomorphic tangent space in each fibre of a complex Finsler bundle. Also, submersions from the complex indicatrix onto a

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7

Bildirici, Ibrahim Oztug. "Quasi indicatrix approach for distortion visualization and analysis for map projections." International Journal of Geographical Information Science 29, no. 12 (2015): 2295–309. http://dx.doi.org/10.1080/13658816.2015.1074236.

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8

Barbosa, Leonardo Carlos, Luiz Filipe Campos do Canto, Willian dos Santos Ferreira, Max Vinicius Esteves Torres, and Andresa Ayara Torres e. Silva. "Diagnosis of cylindrical projections and analysis of suitability for the territorial area of South America." Journal of Engineering and Exact Sciences 7, no. 1 (2021). http://dx.doi.org/10.18540/jcecvl7iss1pp12068-01-09e.

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Cartographic Projection can be defined as the mathematical relationship between the position of a model of the terrestrial surface and the flat surface. Cylindrical projections are employed around the world, taking into consideration their properties and special characteristics. The purpose of this study was to identify the cartographic projection that best represents South America terrestrial surface, focusing mainly on the area of the continent, determined by the South American Defense Council. Initially, the projections were selected based on a bibliographic review. Subsequently, a suitabil

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9

Abdalstar A. Saleem, Alaa A. Abdallah, and Ammar Z. Hussein. "On Generalized U- Birecurrent Finsler Space in Berwald Sense." International Journal of Advanced Research in Science, Communication and Technology, June 29, 2025, 817–24. https://doi.org/10.48175/ijarsct-28299.

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In this paper, we introduced a type of generalized birecurrent space in Berwald sense. The necessary and sufficient conditions for some tensors to be generalized birecurrent in Berwald sense have been obtained. Also, some results in the projection on indicatrix with respect to Cartan connection have been discussed.

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10

Abdalstar A. Saleem and Alaa A. Abdallah. "Study on Uh-Birecurrent Finsler Space." International Journal of Advanced Research in Science, Communication and Technology, March 31, 2022, 28–39. http://dx.doi.org/10.48175/ijarsct-3057.

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In this paper, we introduce a Finsler space which the curvature tensor satisfies the birecurrence property in sense of Cartan. We obtain the necessary and sufficient condition for some tensors to be birecurrent. The relationship between the curvature tensor and Douglas tensor have been studied. Also, some results in a projection on indicatrix with respect to Cartan connection have been discussed.

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