Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space
研究了双曲空间上非齐次二次函数的内在凸性，给出了若干刻画，可用于构造大量例子。
Abstract In this paper, some concepts related to the intrinsic convexity of non-homogeneous quadratic functions on the hyperbolic space are studied. Unlike in the Euclidean space, the study of intrinsic convexity of non-homogeneous quadratic functions in the hyperbolic space is more elaborate than that of homogeneous quadratic functions. Several characterizations that allow the construction of many examples will be presented.