논문KCI 등재
Volume ratios of a hypersurface relative to the FLRW space-time
대한수학회 (The Korean Mathematical Society)|2015.10|대한수학회논문집 (Communications of the KMS)|제30권 제4호|pp. 481-491
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We calculate volume ratio of a hypersurface orthogonal to a timelike geodesic relative to that of a hypersurface in the FLRW space-time.
Abstract
We calculate volume ratio of a hypersurface orthogonal to a timelike geodesic relative to that of a hypersurface in the FLRW space-time.
참고문헌 (10)
- J. -H. Eschenburg, "Jacobi tensors and Ricci curvature", Math. Ann, 252(1), pp.1~26 (1980)
- J. R. Kim, "The upperbound of the volume expansion rate in a Lorentzian manifold", Gen. Relativity Gravitation, 42(2), pp.403~412 (2010)
- J. R. Kim, "Erratum to The upperbound of the volume expansion rate in a Lorentzian manifold", Gen. Relativity Gravitation, 42(12), pp.2981~2982 (2010)
- J. R. Kim, "Relative Lorentzian volume comparison with integral Ricci and scalar curvature bound", J. Geom. Phys, 61(6), pp.1061~1069 (2011)
- D. N. Kupeli, "On conjugate and focal points in semi-Riemannian geometry", Math. Z, 198(4), pp.569~589 (1988)
- B. O’Neil, "Semi-Riemannian Geometry with applications to Relativity" (1983), Pure Appl. Math., Academic Press
- S. -H. Paeng, "Volume expansion rate of the Lorentzian manifold based on integral Ricci curvature over a timelike geodesic", J. Geom. Phys, 57(6), pp.1499~1503 (2007)
- P. Petersen, "Integral curvature bounds, distance estimates and applica-tions", J. Differential Geom, 50(2), pp.269~298 (1998)
- P. Petersen, "Relative volume comparison with integral curvature bounds", Geom. Funct. Anal, 7(6), pp.1031~1045 (1997)
- J. -G. Yun, "Volume comparison for Lorentzian warped products with integral curvature bounds", J. Geom. Phys, 57(3), pp.903~912 (2007)
관련 논문AI추천
A note on Concircular Structure space-timesCarlo Alberto Mantica, Luca Guido Molinari대한수학회 · 대한수학회논문집2019 · 제34권 제2호ON PSEUDO CYCLIC RICCI SYMMETRIC SPACETIMESABSOS ALI SHAIKH, SHYAMAL KUMAR HUI장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME강태호대한수학회 · 대한수학회보2012 · 제49권 제4호A note on lightlike hypersurfaces of a GRW space-time강태호대한수학회 · 대한수학회논문집2018 · 제33권 제1호Spacetimes admitting divergence free $m$-projective curvature tensorDipankar Hazra, Uday Chand De대한수학회 · 대한수학회논문집2024 · 제39권 제1호On null cut points in two-dimensional spacetimes김도형, 김병학대한수학회 · 대한수학회보2013 · 제50권 제2호
이 간행물의 다른 논문 (14건)
A soft transfer and soft algebraic extension of int-soft subalgebras and ideals in $BCK/BCI$-algebras이경자, 전영배pp. 339-348Coregularity of order-preserving self-mapping semigroups of fencesKetsarin Jendana, Ratana Srithuspp. 349-361Zero divisor graphs of skew generalized power series ringsKamal Paykan, Ahmad Moussavipp. 363-377Weierstrass points on hyperelliptic modular curves전대열pp. 379-384Semi-prime closure operations on BCK-algebraMohammad Mehdi Zahedi, Hashem Bordbarpp. 385-402
