References of "Differential Geometry & its Applications"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailHarnack estimates for a nonlinear parabolic equation under Ricci flow
Li, Yi UL; Zhu, Xiaorui

in Differential Geometry & its Applications (2018), 56

In this paper, we consider the Harnack estimates for a nonlinear parabolic equation under the Ricci flow. The gradient estimates for positive solutions as well as Li-Yau type inequalities are also given.

Detailed reference viewed: 189 (22 UL)
Full Text
Peer Reviewed
See detailHigher holonomies: comparing two constructions
Arias Abad, Camilo; Schatz, Florian UL

in Differential Geometry & its Applications (2015), 40

We compare two different constructions of higher dimensional parallel transport. On the one hand, there is the two dimensional parallel transport associated to 2-connections on 2-bundles studied by Baez ... [more ▼]

We compare two different constructions of higher dimensional parallel transport. On the one hand, there is the two dimensional parallel transport associated to 2-connections on 2-bundles studied by Baez-Schreiber, Faria Martins-Picken and Schreiber-Waldorf. On the other hand, there are the higher holonomies associated to flat superconnections as studied by Igusa, Block-Smith and Arias Abad-Schätz. We first explain how by truncating the latter construction one obtains examples of the former. Then we prove that the 2-dimensional holonomies provided by the two approaches coincide. [less ▲]

Detailed reference viewed: 65 (2 UL)
Full Text
Peer Reviewed
See detailEven-homogeneous supermanifolds on the complex projective line.
Vishnyakova, Elizaveta UL

in Differential Geometry & its Applications (2013), 31

Detailed reference viewed: 54 (2 UL)