Riemannian Structures and Triangulations of Manifold

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Authors

  • J. Dodziuk
     Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005 ,IN
  • V. K. Patodi
     Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005 ,IN

Abstract

Let X be a C∞ closed manifold of dimension N. Two additional structures on X have been extensively studied. One is the Riemannian structure giving rise to Riemannian geometry and the other is the triangulation of X giving rise to combinatorial or polyhedral topology.

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Published

1976-12-01

How to Cite

Dodziuk, J., & Patodi, V. K. (1976). Riemannian Structures and Triangulations of Manifold. The Journal of the Indian Mathematical Society, 40(1-4), 1–52. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/16612

Issue

Volume 40, Issue 1-4, March-December 1976

Section

Articles

License

Copyright (c) 1976 J. Dodziuk, V. K. Patodi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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PATODI, V.K. "Curvature and the eigenforms of the Laplace operator," Diff. Geometry 5 (1971), 233-249.

PATODI, V.K. "Riemannian structures and triangulation of manifolds," Pros. Int. Congr. Math., Vancouver (1974) (to appear).

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RAY, D.B. and I. M. SINGER, "R-Torsion and the Laplacian on Riemannian manifolds," Advances in Math. 4(1971), 145-210.

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