On Certain New Tensors in an Areal Space Based on Parameter Invariant Multiple Integrals

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Published: 2026-03-15
Keywords:
Areal space, Tensor D_ijk^ABE, Tensor E_ijk^ABD, areal space X_4, the subspace C_2.

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Sachin Kumar
Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India
P K Dwivedi
Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India
C K Mishra
Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India
Ashish Kumar Pandey
Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya (U.P.), India
S C Rastogi
105, Shagun Vatika, P. N. Road Lucknow, 226001 (U.P.), India

Abstract

Areal spaces of different types have been studied by various eminent Mathematicians including Cartan1, Davies2,3, Kawaguchi4 and others. The study of Areal spaces through parameter invariant multiple integrals was initiated by Rund11,12. Rund made a significant change in the study of Areal spaces by introducing four index metric- tensor in place of usual two index metric tensor. Various aspects of this study have been continued by several authors including Love-lock and Rund5, Rastogi6-10 etc. The purpose of the present paper is to introduce certain new tensors in Areal space and study their properties vice-versa other well- known tensors of Areal spaces.

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Vol. 30 No. 1 (2026): Table of Content

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1.
On Certain New Tensors in an Areal Space Based on Parameter Invariant Multiple Integrals. J. Int. Acad. Phys. Sci. [Internet]. 2026 Mar. 15 [cited 2026 Oct. 23];30(1):25-33. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/1034

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