DOI: 10.1016/0001-8708(75)90141-3. The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary

The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary

10.1016/0001-8708(75)90141-3

Crossref journal-article

Elsevier BV

Advances in Mathematics (78)

Bibliography

Gilkey, P. B. (1975). The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary. Advances in Mathematics, 15(3), 334â360.

Authors 1

Peter B Gilkey (first)

References 13 Referenced 66

{'key': '10.1016/0001-8708(75)90141-3_BIB1', 'series-title': 'Differential Analysis (Bombay Colloquium)', 'article-title': 'The Index Problem for Manifolds with Boundary', 'author': 'Atiyah', 'year': '1964'} / Differential Analysis (Bombay Colloquium) / The Index Problem for Manifolds with Boundary by Atiyah (1964)
10.1007/BF01425417 / Invent. Math. / On the heat equation and the index theorem by Atiyah (1973)
10.1112/blms/5.2.229 / Bull. London Math. Soc. / Spectral asymmetry and riemannian geometry by Atiyah (1973)
M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral assymetry and riemannian geometry I, preprint.
10.2307/1969302 / Ann. of Math. / A simple intrinsic proof of the gauss bonnet formula for closed riemannian manifolds by Chern (1944)
10.2307/1969203 / Ann. of Math. / On the curvatura integra in a riemannian manifold by Chern (1945)
10.1016/0001-8708(73)90119-9 / Advances in Math. / Curvature and the eigenvalues of the laplacian for elliptic complexes by Gilkey (1973)
10.1016/0001-8708(73)90014-5 / Advances in Math. / Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds by Gilkey (1973)
{'key': '10.1016/0001-8708(75)90141-3_BIB9', 'first-page': '133', 'article-title': 'An asymptotic expansion for the heat equation', 'volume': '16', 'author': 'Greiner', 'year': '1968'} / An asymptotic expansion for the heat equation by Greiner (1968)
10.2307/1970473 / Ann. of Math. / Pseudo-differential operators and non-elliptic boundary problems by Hormander (1966)
10.4310/jdg/1214427880 / J. Differential Geometry / Curvature and the eigenvalues of the laplacian by McKean (1967)
10.4310/jdg/1214429791 / J. Differential Geometry / Curvature and the eigenforms of the laplace operator by Patodi (1971)
10.2307/2373078 / Amer. J. Math. / Singular integrals and boundary problems by Seeley (1966)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 9, 2005, 11:45 p.m.)
Deposited	6 years, 7 months ago (Jan. 29, 2019, 4:52 a.m.)
Indexed	1 year, 1 month ago (July 9, 2024, 12:31 p.m.)
Issued	50 years, 6 months ago (March 1, 1975)
Published	50 years, 6 months ago (March 1, 1975)
Published Print	50 years, 6 months ago (March 1, 1975)

Funders 0

None

BibTeX

@article{Gilkey_1975, title={The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary}, volume={15}, ISSN={0001-8708}, url={http://dx.doi.org/10.1016/0001-8708(75)90141-3}, DOI={10.1016/0001-8708(75)90141-3}, number={3}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Gilkey, Peter B}, year={1975}, month=mar, pages={334–360} }

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