An Extension of Hsiung–Minkowski Formulas and Some Applications Kwok-Kun Kwong OriginalPaper 04 September 2014 Pages: 1 - 23
On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of \(\mathsf{RCD}^*(K,N)\) Metric Measure Spaces Luigi AmbrosioAndrea MondinoGiuseppe Savaré OriginalPaper 07 October 2014 Pages: 24 - 56
Embedded Morse Theory and Relative Splitting of Cobordisms of Manifolds Maciej BorodzikMark Powell OriginalPaper 04 September 2014 Pages: 57 - 87
A Faber–Krahn Inequality for the Cheeger Constant of \(N\)-gons Dorin BucurIlaria Fragalà OriginalPaper 04 September 2014 Pages: 88 - 117
Invariant Differential Operators on H-Type Groups and Discrete Components in Restrictions of Complementary Series of Rank One Semisimple Groups J. MöllersB. ØrstedG. Zhang OriginalPaper 18 September 2014 Pages: 118 - 142
On Brunn–Minkowski-Type Inequalities for Polar Bodies María A. Hernández CifreJesús Yepes Nicolás OriginalPaper 18 September 2014 Pages: 143 - 155
The Lichnerowicz–Obata Theorem on Sub-Riemannian Manifolds with Transverse Symmetries Fabrice BaudoinBumsik Kim OriginalPaper 04 September 2014 Pages: 156 - 170
Sequences of Laplacian Cut-Off Functions Batu Güneysu OriginalPaper 18 September 2014 Pages: 171 - 184
On Conformal Minimal Immersions of Two-Spheres in a Complex Hyperquadric with Parallel Second Fundamental Form Xiaoxiang JiaoMingyan Li OriginalPaper 18 September 2014 Pages: 185 - 205
On Complex Points of Codimension 2 Submanifolds Marko Slapar OriginalPaper 06 January 2015 Pages: 206 - 219
The Diederich–Fornæss Exponent and Non-existence of Stein Domains with Levi-Flat Boundaries Siqi FuMei-Chi Shaw OriginalPaper 25 November 2014 Pages: 220 - 230
A Detailed Proof of a Theorem of Aubin Farid Madani Original Research 25 November 2014 Pages: 231 - 251
Invariant Complex Structures on 6-Nilmanifolds: Classification, Frölicher Spectral Sequence and Special Hermitian Metrics M. CeballosA. OtalR. Villacampa Original Research 25 November 2014 Pages: 252 - 286
Sobolev Inequalities and the \(\overline{\partial }\)-Neumann Operator Friedrich Haslinger OriginalPaper 25 November 2014 Pages: 287 - 293
On Area Comparison and Rigidity Involving the Scalar Curvature Vlad Moraru OriginalPaper 02 December 2014 Pages: 294 - 312
Biconservative Surfaces S. MontaldoC. OniciucA. Ratto Original Research 25 November 2014 Pages: 313 - 329
Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds Enrico Le DonneAlessandro Ottazzi Original Research 02 December 2014 Pages: 330 - 345
Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions R. G. Novikov OriginalPaper 15 January 2015 Pages: 346 - 359
Expected Values of Eigenfunction Periods Suresh Eswarathasan OriginalPaper 03 February 2015 Pages: 360 - 377
Spherical Harmonics with Maximal \(L^p\) \((2<p\le 6)\) Norm Growth Xiaolong Han OriginalPaper 03 February 2015 Pages: 378 - 398
Toric Kähler–Einstein Metrics and Convex Compact Polytopes Eveline Legendre OriginalPaper 15 January 2015 Pages: 399 - 427
The Kato Square Root Problem on Vector Bundles with Generalised Bounded Geometry Lashi BandaraAlan McIntosh OriginalPaper 27 January 2015 Pages: 428 - 462
Semi-Bloch Functions in Several Complex Variables Ulf BacklundLinus CarlssonHåkan Persson OriginalPaper 15 January 2015 Pages: 463 - 473
Isoperimetric Inequalities in Conically Bounded Convex Bodies Manuel RitoréEfstratios Vernadakis OriginalPaper 11 February 2015 Pages: 474 - 498
Euclidean Embeddings and Riemannian Bergman Metrics Eric Potash OriginalPaper 26 October 2015 Pages: 499 - 528
On the Asymptotic Behavior of the Trajectories of Semigroups of Holomorphic Functions Dimitrios Betsakos OriginalPaper 15 January 2015 Pages: 557 - 569
Uniqueness of Extremizers for an Endpoint Inequality of the \(k\)-Plane Transform Taryn C. Flock OriginalPaper 25 March 2015 Pages: 570 - 602
The Kähler Rank of Compact Complex Manifolds Ionuţ Chiose OriginalPaper 03 February 2015 Pages: 603 - 615
Lower Bounds on the Kobayashi Metric Near a Point of Infinite Type Tran Vu Khanh OriginalPaper 11 February 2015 Pages: 616 - 629
Prescribing the Gaussian Curvature in a Subdomain of \(\mathbb {S}^2\) with Neumann Boundary Condition Rafael López-SorianoDavid Ruiz OriginalPaper 27 January 2015 Pages: 630 - 644
On the Isotropic Constant of Random Polytopes David Alonso-GutiérrezAlexander E. LitvakNicole Tomczak-Jaegermann OriginalPaper 27 January 2015 Pages: 645 - 662
Classification of Compact Convex Ancient Solutions of the Planar Affine Normal Flow Mohammad N. Ivaki OriginalPaper 03 February 2015 Pages: 663 - 671
Explicit Hodge-Type Decomposition on Projective Complete Intersections Gennadi M. HenkinPeter L. Polyakov OriginalPaper 13 October 2015 Pages: 672 - 713