ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ<sup>2</sup>

Lin, Youjiang; Leng, Gangsong

doi:10.4134/bkms.2014.51.1.129

Bulletin of the Korean Mathematical Society

2014

DOI: 10.4134/bkms.2014.51.1.129

|View full text |Cite

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ²

Youjiang Lin¹,

Gangsong Leng²

Abstract: Abstract. In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R 2 and of its polar body is minimal if and only if K is a parallelogram.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Relationship

Self Cite0

Independent0

Authors

Journals

Cited by 0 publications

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

No citations

Set email alert for when this publication receives citations?

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ²

Abstract: Abstract. In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R 2 and of its polar body is minimal if and only if K is a parallelogram.

Cited by 0 publications

References 12 publications

No citations

Contact Info

Product

Resources

About

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ2

Abstract: Abstract. In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R 2 and of its polar body is minimal if and only if K is a parallelogram.

Cited by 0 publications

References 12 publications

No citations

Contact Info

Product

Resources

About

ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN ℝ²