Cover Image

Geometric Interpretations and Applications of the Berger-Ebin and York $L^2$-Orthogonal Decompositions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Stepanov, Sergey, Tsyganok, Irina
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry 53C20, 53C21, 53C24, 53A10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Extensions and Applications of Stein-Weiss Operators to the Study of Traceless Symmetric Tensors
by: Stepanov, Sergey, et al.
Published: (2025)

Back to harmonic mappings of compact Riemannian manifolds
by: Stepanov, Sergey, et al.
Published: (2025)

Some numerical characteristic inequalities of compact Riemannian manifolds
by: Stepanov, Sergey, et al.
Published: (2025)

Harmonic Gauge on the Space of Riemannian Metrics and Its Role in the Ricci-DeTurck Flow
by: Sergey, Stepanov
Published: (2026)

Marginally outer trap surface with capillary boundary and rigidity of initial data sets
by: Lee, Sanghun
Published: (2025)

Some results on the $\mathfrak{g}$-stability of surfaces with boundary
by: Lee, Sanghun
Published: (2026)

Product manifolds and the curvature operator of the second kind
by: Li, Xiaolong
Published: (2022)

An Inequality Comparing the Dirichlet Energy and the Bienergy of Maps Between Riemannian Manifolds
by: Stepanov, Sergey, et al.
Published: (2026)

Rigidity for Einstein manifolds under bounded covering geometry
by: Si, Cuifang, et al.
Published: (2024)

New Sphere Theorems under Curvature Operator of the Second Kind
by: Li, Xiaolong
Published: (2024)

Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations
by: Corro, Diego, et al.
Published: (2024)

On biharmonic functions on vector bundles
by: Abbassi, Mohamed Tahar Kadaoui, et al.
Published: (2023)

Quasi-Einstein Metrics and a curvature identity associated with the Ricci flow
by: Bhattacharya, Atreyee, et al.
Published: (2025)

Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three
by: Cao, Huai-Dong, et al.
Published: (2014)

Conformally weighted Einstein manifolds: the uniqueness problem
by: Brozos-Vázquez, Miguel, et al.
Published: (2025)

Euler Characteristic of Closed Manifolds with Almost Nonnegative Curvature Operator
by: Cai, Jing-Bin
Published: (2026)

A gap Theorem on closed self-shrinkers of mean curvature flow
by: Zhao, Yuhang
Published: (2025)

Ricci-Yamabe Soliton on a Class of $4$-Dimensional Walker Manifolds
by: Bousso, Abdou, et al.
Published: (2025)

Complete gradient Einstein-type Sasakian manifolds with $α=0$
by: Maeta, Shun
Published: (2025)

Homological $(n-2)$-systole in $n$-manifolds with positive triRic curvature
by: Chen, Jingche, et al.
Published: (2026)

Critical metrics for the quadratic curvature functional on complete four-dimensional manifolds
by: Euh, Yunhee, et al.
Published: (2025)

Modified Hawking mass and rigidity of three-manifolds with boundary
by: Lee, Jihyeon, et al.
Published: (2025)

New Heintze-Karcher type inequalities in sub-static warped product manifolds
by: Li, Haizhong, et al.
Published: (2025)

Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
by: Hu, Yingxiang, et al.
Published: (2022)

Scalar curvature rigidity of domains in a warped product
by: Chai, Xiaoxiang, et al.
Published: (2024)

Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces
by: Gao, Jinyu, et al.
Published: (2024)

Continuity of total curvatures of Riemannian hypersurfaces
by: Ghomi, Mohammad
Published: (2025)

Monotonicity formulas and Hessian of the Green function
by: Park, Jiewon
Published: (2024)

Rigidity of conformal submersions and quasi-Einstein manifolds
by: Bhattacharya, Atreyee, et al.
Published: (2024)

Curvature bounds for the spectrum of closed Einstein spaces and Simon conjecture
by: Guan, ShanLin, et al.
Published: (2023)

Extremality and rigidity for scalar curvature in dimension four
by: Bettiol, Renato G., et al.
Published: (2022)

Band width estimates with lower spectral curvature bounds
by: Chai, Xiaoxiang, et al.
Published: (2025)

Foliation of area-minimizing hypersurfaces in asymptotically flat manifolds of higher dimension
by: He, Shihang, et al.
Published: (2026)

Llarull type theorems on complete manifolds with positive scalar curvature
by: Hao, Tianze, et al.
Published: (2023)

Intermediate curvature and splitting theorem
by: Chen, Jingche, et al.
Published: (2026)

Singularity removal rigidity theorems for minimal hypersurfaces in manifolds with nonnegative scalar curvature
by: He, Shihang, et al.
Published: (2026)

A new family of translating solitons in hyperbolic space
by: Bueno, Antonio, et al.
Published: (2024)

On intrinsic rotational surfaces in the Lorentz-Minkowski space
by: Kaya, Seher, et al.
Published: (2024)

Localized Curvature Domination and Rigidity of Harmonic Maps
by: Stepanov, Sergey
Published: (2026)

Horo-shrinkers in the hyperbolic space
by: Bueno, Antonio, et al.
Published: (2024)