논문KCI 등재
VOLUME DENSITY ASYMPTOTICS OF CENTRAL HARMONIC SPACES
대한수학회 (The Korean Mathematical Society)|2023.11|대한수학회보 (Bulletin of the KMS)|제60권 제6호|pp. 1539-1553|DOI 10.4134/BKMS.b220735
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초록
We show the asymptotics of the volume density function in the class of central harmonic manifolds can be specified arbitrarily and do not determine the geometry.
Abstract
We show the asymptotics of the volume density function in the class of central harmonic manifolds can be specified arbitrarily and do not determine the geometry.
참고문헌 (14)
- J. Alvarez-Lopez, "private communication", ~
- Jürgen Berndt, "Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces", Lecture Notes in Mathematics (1995), Springer Berlin Heidelberg[DOI]
- A. L. Besse, "Manifolds all of whose geodesics are closed, Ergebnisse der Mathematik und ihrer Grenzgebiete", pp.93~ (1978), Springer
- R. B. Brown, "Riemannian manifolds with holonomy group Spin (9), in Differential geometry (in honor of Kentaro Yano)", pp.41~59 (1972), Kinokuniya
- E. T. Copson, "Harmonic Riemannian spaces", Proc. Roy. Soc. Edinburgh, 60, pp.117~133 (1940)
- J. DÍAZ-RAMOS, "THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS", International Journal of Geometric Methods in Modern Physics, 01(06), pp.711~720 (2004), World Scientific Pub Co Pte Lt[DOI]
- P. B. Gilkey, "Harmonic Spaces and Density Functions", Results in Mathematics, 75(3) (2020), Springer Science and Business Media LLC[DOI]
- P.B. Gilkey, "Harmonic radial vector fields on harmonic spaces", Journal of Mathematical Analysis and Applications, 504(2), pp.125405~ (2021), Elsevier BV[DOI]
- P. Gilkey, "Centrally harmonic manifolds", Periodica Mathematica Hungarica, 86(1), pp.12~ (2023)
- A. Gray, "The volume of a small geodesic ball of a Riemannian manifold", Michigan Math. J, 20(1974), pp.329~344 (1973)
- Y. Nikolayevsky, "Osserman Conjecture in dimension n ? 8, 16", Mathematische Annalen, 331(3), pp.505~522 (2005), Springer Science and Business Media LLC[DOI]
- Yuri Nikolayevsky, "Two theorems on harmonic manifolds", Commentarii Mathematici Helvetici, 80(1), pp.29~50 (2005), European Mathematical Society - EMS - Publishing House GmbH[DOI]
- H. S. Ruse, "On the elementary solution of Laplace's equation", Proc. Edinburgh Math. Soc, 2, pp.135~139 (1931)
- H. S. RUSE, "GENERAL SOLUTIONS OF LAPLACE'S EQUATION IN A SIMPLY HARMONIC MANIFOLD", The Quarterly Journal of Mathematics, 14(1), pp.181~192 (1963), Oxford University Press (OUP)[DOI]
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