학술논문
COMPARISON THEOREMS FOR THE VOLUMES OF TUBES ABOUT METRIC BALLS IN CAT(·)-SPACES
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Doohann Lee Yong-Il Kim
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 3, 457~467쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2011.08.30
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국문 초록
영문 초록
In this paper, we establish some comparison theorems about volumes of tubes in metric spaces with nonpositive curva-ture. First we compare the Hausdor？？ measure of tube about a metric ball contained in an (n ¡ 1)-dimensional totally geodesic subspace of an n-dimensional locally compact, geodesically com-plete Hadamard space with Lebesgue measure of its corresponding tube in Euclidean space Rn, and then develop the result to the case
of an m-dimensional totally geodesic subspace for 1 < m < n with additional condition. Also, we estimate the Hausdor？？ measure of the tube about a shortest curve in a metric space of curvature bounded above and below.
목차
1. Introduction
2. Main results
키워드
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참고문헌
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