Publication:
On local quadratic subconvexity of metrics and rectifiability of Bézier curves in CAT(K) spaces

Issued Date

2011-12-01

Resource Type

Article

ISSN

21534373
13598678

Other identifier(s)

2-s2.0-84872817165

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Nonlinear Studies. Vol.18, No.3 (2011), 437-446

Suggested Citation

Chaiwat Maneesawarng, Yongwimon Lenbury On local quadratic subconvexity of metrics and rectifiability of Bézier curves in CAT(K) spaces. Nonlinear Studies. Vol.18, No.3 (2011), 437-446. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12122

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Title

On local quadratic subconvexity of metrics and rectifiability of Bézier curves in CAT(K) spaces

Author(s)

Chaiwat Maneesawarng
 Yongwimon Lenbury

Other Contributor(s)

Center of Excellence in Mathematics
 Mahidol University

Abstract

We generalize the definition of Bézier curves (which agrees with the usual one in the Euclidean case) in CAT(K) spaces. Rectifiability-a naturally-expected property of Bézier curves-is proved in this general setting. In order to achieve this, an assertion weaker but similar to convexity of metrics of CAT(0) spaces is verified for general metric spaces of curvature bounded above. © 2011 CSP - Cambridge, UK; I & S - Florida, USA.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/12122

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Scopus 2011-2015