该杂志探讨了几何和分析的全球问题，以及这些领域之间的相互作用及其在理论物理问题中的应用。它有助于扩大该领域研究成果的国际交流。ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 涵盖的领域包括：全局分析、微分几何、复流形以及复分析和代数几何的相关结果、李群、李变换群和谐波分析、变分微积分、微分几何和全局分析在理论物理问题中的应用。

The Annals of Global Analysis and Geometry addresses global issues in the fields of geometry and analysis, as well as the interactions between these areas and their applications in theoretical physics. The journal aims to enhance international communication of research findings in this field. Topics covered include global analysis, differential geometry, complex manifolds and related results in complex analysis and algebraic geometry, Lie groups, Lie transformation groups, harmonic analysis, variational calculus, and the applications of differential geometry and global analysis in theoretical physics.

《Annals of Global Analysis and Geometry》探讨几何和分析领域的全球性问题，以及这些领域之间的相互作用及其在理论物理中的应用。该杂志旨在促进国际间在这一领域研究成果的交流。涵盖的主题包括全局分析、微分几何、复流形及其相关的复分析和代数几何结果、李群、李变换群、谐波分析、变分微积分，以及微分几何和全局分析在理论物理问题中的应用。

Annals of Global Analysis and Geometry

Izar Alonso

Francesca Salvatore

Correction to: On the existence of balanced metrics on six-manifolds of cohomogeneity one

更正：关于同调度为一的六维流形上平衡度量的存在性

Debjit Pal

Mainak Poddar

Generalized complex structure on certain principal torus bundles

某些主环面丛上的广义复结构

Abstract We consider two different $$\text {SU}(2)^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:math> -invariant cohomogeneity one manifolds, one non-compact $$M=\mathbb {R}^4 \times S^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>M</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>4</mml:mn> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math> and one compact $$M=S^4 \times S^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>M</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>4</mml:mn> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math> , and study the existence of coclosed $$\text {SU}(2)^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:math> -invariant $$G_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -structures constructed from half-flat $$\text {SU}(3)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -structures. For $$\mathbb {R}^4 \times S^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>4</mml:mn> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math> , we prove the existence of a family of coclosed (but not necessarily torsion-free) $$G_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -structures which is given by three smooth functions satisfying certain boundary conditions around the singular orbit and a non-zero parameter. Moreover, any coclosed $$G_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -structure constructed from a half-flat $$\text {SU}(3)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -structure is in this family. For $$S^4 \times S^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>4</mml:mn> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math> , we prove that there are no $$\text {SU}(2)^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:math> -invariant coclosed $$G_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> -structures constructed from half-flat $$\text {SU}(3)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -structures.

Coclosed $$G_2$$-structures on $$\text {SU}(2)^2$$-invariant cohomogeneity one manifolds

同调一维流形上 $$\text {SU}(2)^2$$-不变的闭合 $$G_2$$ 结构

Boris Botvinnik

Jonathan Rosenberg

Generalized positive scalar curvature on spin$$^c$$ manifolds

自旋c流形上的广义正标量曲率

Abstract We study the n -bubble problem on $$\mathbb {R}^1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msup> </mml:math> with a prescribed density function f that is even, radially increasing, and satisfies a log-concavity requirement. Under these conditions, we find that isoperimetric solutions can be identified for an arbitrary number of regions, and that these solutions have a well-understood and regular structure. This generalizes recent work done on the density function $$|x |^p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>x</mml:mi> <mml:mo>|</mml:mo> </mml:mrow> <mml:mi>p</mml:mi> </mml:msup> </mml:math> and stands in contrast to log-convex density functions which are known to have no such regular structure.

John Ross

Solution to the n-bubble problem on $$\mathbb {R}^1$$ with log-concave density

带有对数凹密度的$$\mathbb {R}^1$$上的n-气泡问题的解

Klaus Kirsten

Yoonweon Lee

The zeta-determinant of the Dirichlet-to-Neumann operator on forms

Dirichlet-to-Neumann算子在形式上的zeta-行列式

Abbreviation	Ann. Glob. Anal. Geom. (Dordr).
Journal Impact	0.69
Quartiles(Global)	MATHEMATICS(Q3)

ISSN	0232-704X, 1572-9060
h-index	39

Publication Information	Publisher: Springer Netherlands，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1983，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 31.61%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：容易

Annals of Global Analysis and Geometry

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Correction to: On the existence of balanced metrics on six-manifolds of cohomogeneity one

Generalized complex structure on certain principal torus bundles

Coclosed $$G_2$$-structures on $$\text {SU}(2)^2$$-invariant cohomogeneity one manifolds

Generalized positive scalar curvature on spin$$^c$$ manifolds

Solution to the n-bubble problem on $$\mathbb {R}^1$$ with log-concave density

Correction to: On the existence of balanced metrics on six-manifolds of cohomogeneity one

Generalized complex structure on certain principal torus bundles

Coclosed $$G_2$$-structures on $$\text {SU}(2)^2$$-invariant cohomogeneity one manifolds

Generalized positive scalar curvature on spin$$^c$$ manifolds

The zeta-determinant of the Dirichlet-to-Neumann operator on forms