ManuScript Details
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Paper Id:
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IJARW3137
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Title:
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ON THE MULTIPLICITY OF TENSORIAL FORMS FOR TENSOR CONNECTIONS ON DIFFERENTIABLE MANIFOLDS
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| Published in: |
International Journal Of All Research Writings |
| Publisher: |
IJARW |
| ISSN: |
2582-1008 |
| Volume / Issue: |
Volume 7 Issue 12 |
| Pages: |
3
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| Published On: |
7/1/2026 3:58:11 AM (MM/dd/yyyy) |
Main Author Details
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Name:
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Dr. Haresh Gambhir Chaudhari |
| Institute: |
Department Of Mathematics, Mgsm Dadasaheb Suresh G Patil College, Chopda.(India) |
Co - Author Details
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Author Institute |
Abstract
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Research Area:
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Mathematics |
| KeyWord: |
Differentiable manifold, Tangent spaces, Tensor-connexion, Tensorial forms, Parallel transport, Tensor product spaces, Multi-vectors. |
| Abstract: |
In this paper, we study the relational structures of tensor products over tangent spaces on a differentiable manifold X. Let β be a smooth curve parameterized on X, and let T_P,T_Q,T_R," and " T_S represent the tangent spaces evaluated at the sequential points P,Q,R," and " S along β. First, we establish conditions under which the tensor product spaces T_Q⊗T_P and T_S⊗T_R achieve structural equivalence. Second, utilizing linear isomorphism mappings that characterize parallel transport along the curve, we prove the existence of two distinct, valid tensorial forms associated with a singular tensor-connexion. These formulations provide extended mechanisms for tracking algebraic fields along smooth manifold path |
Citations
Copy and paste a formatted citation or use one of the links to import into a bibliography manager and reference.
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IEEE
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Dr. Haresh Gambhir Chaudhari, "ON THE MULTIPLICITY OF TENSORIAL FORMS FOR TENSOR CONNECTIONS ON DIFFERENTIABLE MANIFOLDS", International Journal Of All Research Writings,
vol. 7, no. 12, pp. 220-222, 2026.
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MLA
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Dr. Haresh Gambhir Chaudhari "ON THE MULTIPLICITY OF TENSORIAL FORMS FOR TENSOR CONNECTIONS ON DIFFERENTIABLE MANIFOLDS." International Journal Of All Research Writings,
vol 7, no. 12, 2026, pp. 220-222.
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APA
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Dr. Haresh Gambhir Chaudhari (2026). ON THE MULTIPLICITY OF TENSORIAL FORMS FOR TENSOR CONNECTIONS ON DIFFERENTIABLE MANIFOLDS. International Journal Of All Research Writings,
7(12), 220-222.
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ON THE MULTIPLICITY OF TENSORIAL FORMS FOR TENSOR CONNECTIONS ON DIFFERENTIABLE MANIFOLDS
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