Cover Image

Analysis on asymmetric metric measure spaces: $q$-heat flow, $q$-Laplacian and Sobolev spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kristály, Alexandru, Ohta, Shin-ichi, Zhao, Wei
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability
by: Kristály, Alexandru, et al.
Published: (2024)

Sharp Sobolev inequalities on noncompact Riemannian manifolds with ${\sf Ric}\geq 0$ via Optimal Transport theory
by: Kristály, Alexandru
Published: (2023)

Equality in the logarithmic Sobolev inequality
by: Ohta, Shin-ichi, et al.
Published: (2019)

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity
by: Balogh, Zoltán M., et al.
Published: (2024)

$L^p$-Sobolev inequalities on minimal submanifolds
by: Balogh, Zoltán M., et al.
Published: (2024)

A semigroup approach to Finsler geometry: Bakry-Ledoux's isoperimetric inequality
by: Ohta, Shin-ichi
Published: (2016)

Failure of famous functional inequalities on Finsler manifolds: the influence of $S$-curvature
by: Kristály, Alexandru, et al.
Published: (2024)

Synthetic notions of Ricci flow for metric measure spaces
by: Erbar, Matthias, et al.
Published: (2025)

A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
by: Kajántó, Sándor, et al.
Published: (2023)

Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds
by: Farkas, Csaba, et al.
Published: (2023)

Discrete-time gradient flows in Gromov hyperbolic spaces
by: Ohta, Shin-ichi
Published: (2022)

Symmetries of one-loop deformed q-map spaces
by: Cortés, Vicente, et al.
Published: (2024)

An expanding curvature flow and the (p,q)-Christoffel-Minkowski problems
by: Chen, Bin, et al.
Published: (2022)

On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces
by: Li, Xiang-Dong
Published: (2025)

Discrete-time gradient flows for unbounded convex functions on Gromov hyperbolic spaces
by: Ohta, Shin-ichi
Published: (2025)

On the space of metrics with non-positive curvature
by: Savelyev, Yasha
Published: (2025)

Homogeneous structures of $3$-dimensional Sasakian space forms
by: Inoguchi, Jun-ichi, et al.
Published: (2024)

On a natural L2 metric on the space of Hermitian metrics
by: Gao, Jinwei
Published: (2025)

S-duality and the universal isometries of instanton corrected q-map spaces
by: Cortés, Vicente, et al.
Published: (2023)

SNC Kähler-Einstein metrics and RCD spaces
by: de Borbon, Martin, et al.
Published: (2026)

Classification of analytic $\text{SO}^\circ(p,q)$-actions on closed $(p+q-1)$-dimensional manifolds I : $p, q \geq 3$
by: Lentas, Spyridon
Published: (2025)

Continuity of functions in complex Sobolev spaces
by: Vu, Duc-Viet
Published: (2023)

Weak immersions with second fundamental form in a critical Sobolev space
by: Martino, Dorian, et al.
Published: (2025)

$(p, q)$-Sobolev inequality and Nash inequality on forward complete Finsler metric measure manifolds
by: Cheng, Xinyue, et al.
Published: (2025)

A note on Einstein metrics and Riemannian twistor spaces
by: Dameno, Davide
Published: (2025)

Contractibility of spaces of positive scalar curvature metrics with symmetry
by: Baer, Christian, et al.
Published: (2025)

On the Ricci iteration for homogeneous metrics on spheres and projective spaces
by: Buttsworth, Timothy, et al.
Published: (2018)

Einstein metrics on aligned homogeneous spaces with two factors
by: Lauret, Jorge, et al.
Published: (2024)

Ricci curvature and Einstein metrics on aligned homogeneous spaces
by: Lauret, Jorge, et al.
Published: (2024)

Notes on the Cheeger and Colding version of the Reifenberg theorem for metric spaces
by: Gigli, Nicola, et al.
Published: (2024)

Sobolev mappings of Euclidean space and product structure
by: Kleiner, Bruce, et al.
Published: (2026)

Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
by: Cui, Jingshi, et al.
Published: (2022)

Lines in the space of Kähler metrics
by: Darvas, Tamás, et al.
Published: (2025)

On the Bergman metric of symmetric spaces
by: Loi, Andrea, et al.
Published: (2026)

Operators on nonlinear metric measure spaces I: A New Laplacian comparison theorem on Finsler manifolds and a generalized Li-Yau approach to gradient estimates of Finslerian Schrödinger equation
by: Shen, Bin
Published: (2023)

Einstein metrics on homogeneous spaces $H\times H/ΔK$
by: Lauret, Jorge, et al.
Published: (2024)

A decade of metric geometry in the space of Kähler metrics
by: Darvas, Tamás
Published: (2026)

Perelman's entropy and heat kernel bounds on RCD spaces
by: Brena, Camillo
Published: (2025)

A hyperkähler metric on twisted cotangent bundles of the complex projective space
by: Hashimoto, Takashi
Published: (2025)

Infinite-dimensional flats in the space of positive metrics on an ample line bundle
by: Reboulet, Rémi, et al.
Published: (2023)