TY - JOUR

T1 - A curvature-free Log(2k-1) theorem

AU - Balacheff, Florent

AU - Merlin, Louis

N1 - Publisher Copyright:
c 2023 American Mathematical Society.

PY - 2023/6/1

Y1 - 2023/6/1

N2 - This paper presents a curvature-free version of the Log(2k-1) Theorem of Anderson, Canary, Culler, and Shalen [J. Differential Geometry 44 (1996), pp. 738–782]. It generalizes a result by Hou [J. Differential Geometry 57 (2001), no. 1, pp. 173–193] and its proof is rather straightforward once we know the work by Lim [Trans. Amer. Math. Soc. 360 (2008), no. 10, pp. 5089–5100] on volume entropy for graphs. As a byproduct we obtain a curvature-free version of the Collar Lemma in all dimensions.

AB - This paper presents a curvature-free version of the Log(2k-1) Theorem of Anderson, Canary, Culler, and Shalen [J. Differential Geometry 44 (1996), pp. 738–782]. It generalizes a result by Hou [J. Differential Geometry 57 (2001), no. 1, pp. 173–193] and its proof is rather straightforward once we know the work by Lim [Trans. Amer. Math. Soc. 360 (2008), no. 10, pp. 5089–5100] on volume entropy for graphs. As a byproduct we obtain a curvature-free version of the Collar Lemma in all dimensions.

UR - https://www.mendeley.com/catalogue/3f6e3faf-05bc-3498-b5d4-2a366590c405/

UR - http://www.scopus.com/inward/record.url?scp=85156149229&partnerID=8YFLogxK

U2 - 10.1090/proc/15280

DO - 10.1090/proc/15280

M3 - Article

SN - 0002-9939

VL - 151

SP - 2429

EP - 2434

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -