Funk metrics are a kind of important Finsler metrics with constant negative flag curvature. In this paper, it is proved that any isoparametric hypersurface in Funk spaces has at most two distinct principal curvatures....Funk metrics are a kind of important Finsler metrics with constant negative flag curvature. In this paper, it is proved that any isoparametric hypersurface in Funk spaces has at most two distinct principal curvatures. Moreover, a complete classification of isoparametric families in a Funk space is given.展开更多
If L is a star body in Rn whose central（n-i）-slices have the same（n-i）-dimensional measure μn-1（with appropriate density） as the central（n-i）-slices of an origin-symmetric star body K, then the corresponding ...If L is a star body in Rn whose central（n-i）-slices have the same（n-i）-dimensional measure μn-1（with appropriate density） as the central（n-i）-slices of an origin-symmetric star body K, then the corresponding n-dimensional measures μn of K and L satisfy μn（K）≤μn（L）. This extends a generalized Funk＇s section theorem for volumes to that for measures.展开更多
The Funk＇s section theorem in the n-complex space Cn is investigated. It turns out that this theorem does not admit an extension for the class of general origin-symmetric star bodies in Cn but for a class of star bod...The Funk＇s section theorem in the n-complex space Cn is investigated. It turns out that this theorem does not admit an extension for the class of general origin-symmetric star bodies in Cn but for a class of star bodies called generalized complex intersection bodies. A quasi-version of Funk＇s section theorem in Cn is established then.展开更多
John Mayer在当今的乐坛是公认的一颗冉冉升起的新星,他不仅对blues和funk有很高的理解,同时二者结合得非常突出,有自己独特的见解。通过对John Mayer个人经历和作品还有一些独特而且别出心裁的演奏法的理解与大家分享自己学习中的一些...John Mayer在当今的乐坛是公认的一颗冉冉升起的新星,他不仅对blues和funk有很高的理解,同时二者结合得非常突出,有自己独特的见解。通过对John Mayer个人经历和作品还有一些独特而且别出心裁的演奏法的理解与大家分享自己学习中的一些心得还有经验。并希望通过本论文的分析阐述。让更多人可以在自己音乐的道路上坚定的走下去,去拼搏去开拓,本文提供些许帮助和共鸣。展开更多
基金supported by National Natural Science Foundation of China (Grant No. 11471246)Anhui Provincial Natural Science Foundation (Grant No. 1608085MA03)Natural Science Foundation of Higher Education in Anhui Province (Grant No. KJ2014A257)
文摘Funk metrics are a kind of important Finsler metrics with constant negative flag curvature. In this paper, it is proved that any isoparametric hypersurface in Funk spaces has at most two distinct principal curvatures. Moreover, a complete classification of isoparametric families in a Funk space is given.
基金Supported by the National Natural Science Foundation of China(10801140)Chongqing Research Program of Basic Research and Frontier Technology(2013-JCYJ-A00005)the Foundation of Chongqing Normal University(13XLZ05)
文摘If L is a star body in Rn whose central（n-i）-slices have the same（n-i）-dimensional measure μn-1（with appropriate density） as the central（n-i）-slices of an origin-symmetric star body K, then the corresponding n-dimensional measures μn of K and L satisfy μn（K）≤μn（L）. This extends a generalized Funk＇s section theorem for volumes to that for measures.
文摘The Funk＇s section theorem in the n-complex space Cn is investigated. It turns out that this theorem does not admit an extension for the class of general origin-symmetric star bodies in Cn but for a class of star bodies called generalized complex intersection bodies. A quasi-version of Funk＇s section theorem in Cn is established then.
