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초록· 키워드
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In this paper we show that complete noncompact harmonic Finsler manifolds with minimal horospheres are flat.
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참고문헌 (13)
참고문헌 신청
A. L. Besse / 1978 / Manifolds All of Whose Geodesics are Closed, Ergebnisse der Mathematik und ihrer Grenzgebiete / Springer-Verlag :93
G. Besson / 1995 / Entropies et rigidites des espaces localement symetriques de courbure strictement negative / Geom. Funct. Anal. 5(5):731~739
D. Burago / 1994 / Riemannian tori without conjugate points are flat / Geom. Funct. Anal. 4(3):259~269
D. Burago / 2002 / On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume / Ann. of Math. 156(3):891~914
E. Damek / 1992 / A class of nonsymmetric harmonic Riemannian spaces / Bull. Amer. Math. Soc. (N.S.) 27(1):139~142
G. Besson / 1995 / Entropies et rigidites des espaces localement symetriques de courbure strictement negative / Geom. Funct. Anal. 5(5):731~739
D. Burago / 1994 / Riemannian tori without conjugate points are flat / Geom. Funct. Anal. 4(3):259~269
D. Burago / 2002 / On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume / Ann. of Math. 156(3):891~914
E. Damek / 1992 / A class of nonsymmetric harmonic Riemannian spaces / Bull. Amer. Math. Soc. (N.S.) 27(1):139~142
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