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Some metric on Einstein Lorentzian warped product manifolds

이수영
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.12|한국수학논문집 (Korean Journal of Mathematics)|제27권 제4호|pp. 1133-1147

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참고문헌

키워드

Einstein manifoldgeodesicsLorentzian warped product manifoldwarping functionmultiply warped product.
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초록

In this paper, let $M=B \times_{f^2} F$ be an Einstein Lorentzian warped product manifold with $2-$dimensional base. We study the geodesic completeness of some metric with constant curvature. First of all, we discuss the existence of nonconstant warping functions on $M.$ As the results, we have some metric $g$ admits nonconstant warping functions $f.$ Finally, we consider the geodesic completeness on $M.$

Abstract

In this paper, let $M=B \times_{f^2} F$ be an Einstein Lorentzian warped product manifold with $2-$dimensional base. We study the geodesic completeness of some metric with constant curvature. First of all, we discuss the existence of nonconstant warping functions on $M.$ As the results, we have some metric $g$ admits nonconstant warping functions $f.$ Finally, we consider the geodesic completeness on $M.$

참고문헌 (27)

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관련 논문AI추천

Nonconstant warping functions on Einstein warped product manifolds with $2-$dimensional base이수영강원경기수학회 · 한국수학논문집2018 · 제26권 제1호On warped product spaces with a certain Ricci condition김병학, 이상덕, 이영옥, 최진혁대한수학회 · 대한수학회보2013 · 제50권 제5호The existence of some metrics on Riemannian warped product manifolds with Fiber Manifold of Class (B)이수영, 정윤태, 채송화강원경기수학회 · 한국수학논문집2015 · 제23권 제4호On a classification of warped product manifolds with gradient Yamabe solitons김병학, 이상덕, 최진혁대한수학회 · 대한수학회논문집2020 · 제35권 제1호On a classification of warped product spaces with gradient Ricci solitons김병학, 이상덕, 최진혁강원경기수학회 · 한국수학논문집2016 · 제24권 제4호Some doubly-warped product gradient Ricci solitons김종수대한수학회 · 대한수학회논문집2016 · 제31권 제3호

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