LAUSR

Topological gravity with non-compact matter

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0 Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep01(2019)158

Abstract: A bstractWe couple twisted non-compact N = (2, 2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove… read more here.

Keywords: gravity non; gravity; non compact; compact matter ... See more keywords

The Uniqueness of Knieper Measure on Non-compact Rank 1 Manifolds of Non-positive Curvature

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1 Published in 2021 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-021-0465-8

Abstract: We study the Knieper measures of the geodesic flows on non-compact rank 1 manifolds of non-positive curvature. We construct the Busemann density on the ideal boundary, and prove that if there is a Knieper measure… read more here.

Keywords: non positive; manifolds non; knieper measure; non compact ... See more keywords

The spectrum of simplicial volume of non-compact manifolds

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1 Published in 2021 at "Geometriae Dedicata"

DOI: 10.1007/s10711-021-00647-6

Abstract: We show that, in dimension at least 4, the set of locally finite simplicial volumes of oriented connected open manifolds is $$[0,\infty ]$$ [ 0 , ∞ ] . Moreover, we consider the case of tame open… read more here.

Keywords: compact manifolds; spectrum simplicial; simplicial volume; volume non ... See more keywords

Cauchy data spaces and Atiyah–Patodi–Singer index on non-compact manifolds

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1 Published in 2018 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.05.030

Abstract: Abstract We study the Cauchy data spaces of the strongly Callias-type operators using maximal domain on manifolds with non-compact boundary, with the aim of understanding the Atiyah–Patodi–Singer index and elliptic boundary value problems. read more here.

Keywords: atiyah patodi; patodi singer; cauchy data; data spaces ... See more keywords

New geometric aspects of Moser–Trudinger inequalities on Riemannian manifolds: the non-compact case

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0 Published in 2019 at "Journal of Functional Analysis"

DOI: 10.1016/j.jfa.2019.01.008

Abstract: Abstract In the first part of the paper we investigate some geometric features of Moser–Trudinger inequalities on complete non-compact Riemannian manifolds. By exploring rearrangement arguments, isoperimetric estimates, and gluing local uniform estimates via Gromov's covering… read more here.

Keywords: geometric aspects; riemannian manifolds; new geometric; moser trudinger ... See more keywords

The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets

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0 Published in 2019 at "Dynamical Systems"

DOI: 10.1080/14689367.2019.1567689

Abstract: ABSTRACT Let be a dynamical system, where is a compact metric space and is a continuous map. Using the concepts of g-almost product property and uniform separation property introduced by Pfister and Sullivan in Pfister… read more here.

Keywords: topological pressure; additive topological; variational principle; asymptotically additive ... See more keywords

On construction of finite averaging sets for SL(2,C) via its Cartan decomposition

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1 Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/abfa44

Abstract: Averaging physical quantities over Lie groups appears in many contexts across the rapidly developing branches of physics like quantum information science or quantum optics. Such an averaging process can be always represented as averaging with… read more here.

Keywords: construction; finite averaging; group; cartan decomposition ... See more keywords

Complete noncompact G2-manifolds from asymptotically conical Calabi–Yau 3-folds

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0 Published in 2021 at "Duke Mathematical Journal"

DOI: 10.1215/00127094-2020-0092

Abstract: We develop a powerful new analytic method to construct complete non-compact G2-manifolds, i.e. Riemannian 7-manifolds (M,g) whose holonomy group is the compact exceptional Lie group G2. Our construction starts with a complete non-compact asymptotically conical… read more here.

Keywords: complete non; calabi yau; geometry; non compact ... See more keywords