Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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VOLUME DENSITY ASYMPTOTICS OF CENTRAL HARMONIC SPACES

  • Peter B. Gilkey (Mathematics Department University of Oregon) ;
  • JeongHyeong Park (Mathematics Department Sungkyunkwan University)
  • Received : 2022.10.20
  • Accepted : 2023.01.27
  • Published : 2023.11.30
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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.

Keywords

Acknowledgement

The research of P. Gilkey was partially supported by grant PID2020-114474GB-I0 (Spain). The research of J. H. Park was partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2019R1A2C1083957). Helpful suggestions and comments were provided by our colleagues and friends J. Alvarez-Lopez, M. van den Berg, and E. Garcia-Rio.

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