Honam Mathematical Journal (호남수학학술지)

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NONCONSTANT WARPING FUNCTIONS ON EINSTEIN LORENTZIAN WARPED PRODUCT MANIFOLDS

  • Received : 2018.01.31
  • Accepted : 2018.06.20
  • Published : 2018.09.25
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Abstract

In this paper, we consider nonconstant warping functions on Einstein Lorentzian warped product manifolds $M=B{\times}_{f^2}F$ with an 1-dimensional base B which has a negative definite metric. As the results, we discuss that on M the resulting Einstein Lorentzian warped product metric is a future (or past) geodesically complete one outside a compact set.

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Acknowledgement

Supported by : Chosun University

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