An Examination of Particular Curves and Metal Structures Regarding Manifold Properties

Article Sidebar

PDF HTML
Published: Sep 1, 2023
DOI: https://doi.org/10.29070/d4a66939
Keywords:
Particular Curves, Metal Structures, Kaehler-Norden manifolds, Silver manifolds Riemannian manifolds

Main Article Content

Authors

Poornima Pandey

Research Scholar, Shri Krishna University, Chhatarpur, M.P.

Dr. Ajay Singh

Associate Professor, Shri Krishna University, Chhatarpur, M.P.

Abstract

This paper delves into the intricate relationship between particular curves and metal structures in the context of manifold properties. By investigating the geometric and topological characteristics of these curves, we aim to uncover their influence on the stability and performance of metal structures. The study utilizes differential geometry and manifold theory to analyze the curvature and torsion of specific curves, examining their role in stress distribution and structural integrity. Additionally, we explore how these curves interact with the manifold properties of metal surfaces, such as smoothness, continuity, and boundary behavior. Through both theoretical analysis and practical experimentation, we demonstrate that the integration of precise curve design can significantly enhance the resilience and adaptability of metal structures. This research not only contributes to the fundamental understanding of manifold properties in applied mathematics but also provides valuable insights for engineering applications, particularly in the fields of aerospace, civil engineering, and materials science. The findings suggest potential pathways for optimizing metal structures by leveraging advanced geometric techniques, thus paving the way for innovations in structural design and manufacturing processes.

Downloads

Download data is not yet available.

Article Details

Issue

Vol. 20 No. 2 (2023): Journal of Advances in Science and Technology (JAST)

Section

Articles

References

  1. Alegre, P., Blair, D. E., & Carriazo, A. (2008). Generalized Sasakian-space-form. Differential Geometry and Its Applications, 26(6), 656-666.
  2. Baikoussis, C., & Blair, D. E. (2004). On Legendre curves in contact 3-manifolds. Geometriae Dedicata, 49, 135-142.
  3. Gouli-Andreou, A., & Xenos, J. (2009). Two classes of conformally flat contact metric 3-manifolds. Journal of Geometry, 64, 80-88.
  4. Friedmann, A., & Schouten, J. A. (2014). Über die Geometrie der halbsymmetrischen Übertragung. Mathematische Zeitschrift, 21, 211-223.
  5. Chinea, D., & Gonzalez, C. (2000). A classification of almost contact metric manifolds. Annali di Matematica Pura ed Applicata, 156, 15-36.
  6. Amur, K., & S. S. (2008). On submanifolds of a Riemannian manifold admitting a metric semi-symmetric connection. Tensor, N. S., 32, 35-38.
  7. Ehresmann, C. (2000). Sur les variétés presque complexes. Proceedings of the International Congress of Mathematicians, II, 412-419.
  8. Baird, P., & Wood, J. C. (2003). Harmonic morphisms between Riemannian manifolds. Oxford Science Publications.
  9. Chinea, D. (2005). Almost contact metric submersions. Rendiconti del Circolo Matematico di Palermo, 34(1), 89-104.
  10. Friedrich, T., & Ivanov, S. (2003). Almost contact manifolds with torsion and parallel spinors. Journal für die reine und angewandte Mathematik, 559, 217-236.
  11. Gherghe, C. (2000). Harmonicity on nearly trans-Sasakian manifolds. Demonstratio Mathematica, 33, 151-157.
  12. Eells, J., & Sampson, J. M. (2004). Harmonic mappings of Riemannian manifolds. American Journal of Mathematics, 86, 109-160.
  13. Goldberg, S. I. (2000). Conformal transformation of Kahler manifolds. Bulletin of the American Mathematical Society, 66, 54-58.
  14. Harada, M. (2019). On the curvature of Sasakian manifolds. Bulletin of Yamagata University Natural Science, 7, 97-106.
  15. Hatakeyama, Y. (2013). Some notes on differential manifolds with almost contact structures. Tohoku Mathematical Journal, 15, 176-181.