Journal of Geometric Analysis (J GEOM ANAL)
Journal description
The Journal of Geometric Analysis is a forum for the best work in the field of geometric analysis. This journal publishes work which most clearly exhibits the symbiotic relationship among techniques of analysis, geometry, and partial differential equations. The Journal of Geometric Analysis is committed to being the journal of record for important new results that develop the interaction between analysis and geometry. It has established and will maintain the highest standards of innovation and quality in the field. Volume 14 is the 2004 volume. This journal is published four times a year by Mathematica Josephina, Inc., and is printed and distributed by the American Mathematical Society. An author index appears in the last issue of the year. Printed format.
Current impact factor: 0.87
Impact Factor Rankings
2015 Impact Factor  Available summer 2015 

2013 / 2014 Impact Factor  0.867 
2012 Impact Factor  0.864 
2011 Impact Factor  0.761 
2010 Impact Factor  0.978 
2009 Impact Factor  0.646 
2008 Impact Factor  0.806 
2007 Impact Factor  0.846 
2006 Impact Factor  0.814 
1997 Impact Factor  0.459 
Impact factor over time
Additional details
5year impact  0.87 

Cited halflife  8.30 
Immediacy index  0.17 
Eigenfactor  0.00 
Article influence  1.05 
Other titles  Journal of geometric analysis (Online), Journal of geometric analysis 
ISSN  10506926 
OCLC  62311284 
Material type  Document, Periodical, Internet resource 
Document type  Internet Resource, Computer File, Journal / Magazine / Newspaper 
Publisher details
 Preprint
 Author can archive a preprint version
 Postprint
 Author can archive a postprint version
 Conditions
 Author's preprint on preprint servers such as arXiv.org
 Author's postprint on author's personal website immediately
 Author's postprint on any open access repository after 12 months after publication
 Publisher's version/PDF cannot be used
 Published source must be acknowledged
 Must link to publisher version
 Set phrase to accompany link to published version (see policy)
 Articles in some journals can be made Open Access on payment of additional charge
 Classification green
Publications in this journal
 Journal of Geometric Analysis 06/2015; DOI:10.1007/s1222001596208
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ABSTRACT: Let \((M^3,g,e^{f}d\mu _M)\) be a compact threedimensional smooth metric measure space with nonempty boundary. Suppose that M has nonnegative BakryÉmery Ricci curvature and the boundary \(\partial M\) is strictly fmean convex. We prove that there exists a properly embedded smooth fminimal surface \(\Sigma \) in M with free boundary \(\partial \Sigma \) on \(\partial M\) . If we further assume that the boundary \(\partial M\) is strictly convex, then we prove that \(M^3\) is diffeomorphic to the 3ball \(B^3\) , and a compactness theorem for the space of properly embedded fminimal surfaces with free boundary in such \((M^3,g,e^{f}d\mu _M)\) , when the topology of these fminimal surfaces is fixed.Journal of Geometric Analysis 05/2015; DOI:10.1007/s1222001596164  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we show that the Ricci flow on \(\mathbb{R}^{3}\) with warped product metric may converge to the product of the cigar with the real line under certain assumptions.Journal of Geometric Analysis 04/2015; 25(2). DOI:10.1007/s122200139466x 
Article: Classification of Holomorphic Mappings of Hyperquadrics from \mathbb {C}^2 to \mathbb {C}^3
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ABSTRACT: We give a new proof of Faran’s and Lebl’s results by means of a new CRgeometric approach and classify all holomorphic mappings from the sphere in \(\mathbb {C}^2\) to Levinondegenerate hyperquadrics in \(\mathbb {C}^3\) . We use the tools developed by Lamel, which allow us to isolate and study the most interesting class of holomorphic mappings. This family of socalled nondegenerate and transversal maps we denote by \(\mathcal {F}\) . For \(\mathcal {F}\) we introduce a subclass \(\mathcal {N}\) of maps that are normalized with respect to the group \(\mathcal {G}\) of automorphisms fixing a given point. With the techniques introduced by Baouendi–Ebenfelt–Rothschild and Lamel we classify all maps in \(\mathcal {N}\) . This intermediate result is crucial to obtain a complete classification of \(\mathcal {F}\) by considering the transitive part of the automorphism group of the hyperquadrics.Journal of Geometric Analysis 03/2015; DOI:10.1007/s1222001595946  [Show abstract] [Hide abstract]
ABSTRACT: We prove that the only compact convex ancient solutions of the planar affine normal flow are contracting ellipses.Journal of Geometric Analysis 02/2015; DOI:10.1007/s1222001595688  Journal of Geometric Analysis 02/2015; DOI:10.1007/s122200159573y
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ABSTRACT: Let \(X_1,\ldots ,X_N\) be independent random vectors uniformly distributed on an isotropic convex body \(K\subset \mathbb {R}^n\), and let \(K_N\) be the symmetric convex hull of \(X_i\)’s. We show that with high probability \( L_{K_N}\le C \sqrt{\log (2N/n)}\), where \(C\) is an absolute constant. This result closes the gap in known estimates in the range \(Cn\le N\le n^{1+\delta }\). Furthermore, we extend our estimates to the symmetric convex hulls of vectors \(y_1 X_1, \dots , y_N X_N\), where \(y=(y_1, \dots , y_N)\) is a vector in \(\mathbb {R}^N\). Finally, we discuss the case of a random vector \(y\).Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595679  [Show abstract] [Hide abstract]
ABSTRACT: We introduce higher order variants of the YangMills functional that involve $(n2)$th order derivatives of the curvature. We prove coercivity and smoothness of critical points in Uhlenbeck gauge in dimensions $\mathrm{dim}M\le 2n$. These results are then used to establish the existence of smooth minimizers on a given principal bundle $P\to M$ for subcritical dimensions $\mathrm{dim}M<2n$. In the case of critical dimension $\mathrm{dim}M=2n$ we construct a minimizer on a bundle which might differ from the prescribed one, but has the same Chern classes $c_1,\ldots,c_{n1}$. A key result is a removable singularity theorem for bundles carrying a $W^{n1,2}$connection. This generalizes a recent result by Petrache and Rivi\`ere.Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595848  [Show abstract] [Hide abstract]
ABSTRACT: We bound the dimension of the fiber of a Riemannian submersion from a positively curved manifold in terms of the dimension of the base of the submersion and either its conjugate radius or the length of its shortest closed geodesic.Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595964  [Show abstract] [Hide abstract]
ABSTRACT: A Carnot group is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. We study the notions of intrinsic graphs and of intrinsic Lipschitz graphs within Carnot groups. Intrinsic Lipschitz graphs are the natural local analogue inside Carnot groups of Lipschitz submanifolds in Euclidean spaces, where “natural” emphasizes that the notion depends only on the structure of the algebra. Intrinsic Lipschitz graphs unify different alternative approaches through Lipschitz parameterizations or level sets. We provide both geometric and analytic characterizations and a clarifying relation between these graphs and Rumin’s complex of differential forms.Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001596155  Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595621

Article: The $$p$$ p Affine Capacity
Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595795  [Show abstract] [Hide abstract]
ABSTRACT: We study pseudorandom holomorphic endomorphisms of .Journal of Geometric Analysis 01/2015; 25(1):204225. DOI:10.1007/s1222001394229  [Show abstract] [Hide abstract]
ABSTRACT: We study the existence of left invariant closed \(G_2\) structures defining a Ricci soliton metric on simply connected nonabelian nilpotent Lie groups. For each one of these \(G_2\) structures, we show long time existence and uniqueness of solution for the Laplacian flow on the noncompact manifold. Moreover, considering the Laplacian flow on the associated Lie algebra as a bracket flow on \({\mathbb {R}}^7\) in a similar way as in Lauret (Commun Anal Geom 19(5):831854, 2011) we prove that the underlying metrics \(g(t)\) of the solution converge smoothly, up to pullback by timedependent diffeomorphisms, to a flat metric, uniformly on compact sets in the nilpotent Lie group, as \(t\) goes to infinity.Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001596093 
Article: The Raising Steps Method: Applications to the $$\bar{\partial }$$ ∂ ¯ Equation in Stein Manifolds
Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595768  [Show abstract] [Hide abstract]
ABSTRACT: This paper gives a geometric description of the critical points of the displacement function of a holomorphic isometry for complex Finsler manifolds. It also considers the 1real parameter group of holomorphic isometries and obtains some rigid results.Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595919 
Article: Sharp Estimates for Lipschitz Class
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ABSTRACT: Let \(I\) be an interval contained in \({\mathbb {R}}\) . For a given function \(f:I\rightarrow {\mathbb {R}}\) , \(u\in I\) and any \(0Journal of Geometric Analysis 01/2015; DOI:10.1007/s1222001595937  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we first prove a compactness theorem for the space of closed embedded fminimal surfaces of fixed topology in a closed threemanifold with positive Bakry–Émery Ricci curvature. Then we give a Lichnerowicz type lower bound of the first eigenvalue of the fLaplacian on a compact manifold with positive mBakry–Émery Ricci curvature, and prove that the lower bound is achieved only if the manifold is isometric to the nsphere, or the ndimensional hemisphere. Finally, for a compact manifold with positive mBakry–Émery Ricci curvature and fmean convex boundary, we prove an upper bound for the distance function to the boundary, and the upper bound is achieved if and only if the manifold is isometric to a Euclidean ball.Journal of Geometric Analysis 01/2015; 25(1):421435. DOI:10.1007/s1222001394345
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.