Foliated Positive Scalar Curvature

dc.contributor.advisor	Schick, Thomas Prof. Dr.
dc.contributor.author	Deng, Jialong
dc.date.accessioned	2021-11-11T10:29:15Z
dc.date.available	2021-11-18T00:50:08Z
dc.date.issued	2021-11-11
dc.identifier.uri	http://hdl.handle.net/21.11130/00-1735-0000-0008-5979-D
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-8930
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	510	de
dc.title	Foliated Positive Scalar Curvature	de
dc.type	doctoralThesis	de
dc.contributor.referee	Schick, Thomas Prof. Dr.
dc.date.examination	2021-10-07
dc.description.abstracteng	In this thesis we study different questions on scalar curvatures. The first part is devoted to obstructions against existence of a (Riemannian) metric with positive scalar curvature on a closed manifold. The second part investigates the synthetic definition of scalar curvature bounded below on metric measure spaces. In the third and fourth part, we define and study weighted scalar curvature on a smooth metric measure space. We show rigidity results about scalar curvature bounded below and a sphere theorem for RCD(n-1; n) spaces in the final part.	de
dc.contributor.coReferee	Pidstrygach, Viktor Prof. Dr.
dc.subject.eng	Obstructions; Weighted scalar curvature; Rigidity results	de
dc.identifier.urn	urn:nbn:de:gbv:7-21.11130/00-1735-0000-0008-5979-D-1
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.description.embargoed	2021-11-18
dc.identifier.ppn	1777295459

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