Toshiki Mabuchi

Toshiki Mabuchi's AcademicInfluence.com Rankings

Toshiki Mabuchi

Mathematics

#8305

World Rank

#11283

Historical Rank

Differential Geometry

#117

World Rank

#139

Historical Rank

Measure Theory

#3657

World Rank

#4314

Historical Rank

mathematics Degrees

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Mathematics

Toshiki Mabuchi's Degrees

PhD Mathematics University of Tokyo
Masters Mathematics University of Tokyo
Bachelors Mathematics University of Tokyo

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Toshiki Mabuchi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions (1987) (347)
Some symplectic geometry on compact Kähler manifolds. I (1987) (317)
K-ENERGY MAPS INTEGRATING FUTAKI INYARIANTS (1986) (296)
Bilinear forms and extremal Kähler vector fields associated with Kähler classes (1995) (151)
Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties (1987) (109)
An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I (2004) (90)
Stability of extremal Kahler manifolds (2004) (68)
K-stability of constant scalar curvature polarization (2008) (60)
UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS (2004) (58)
A stronger concept of K-stability (2009) (40)
Multiplier Hermitian structures on Kähler manifolds (2003) (38)
An obstruction to asymptotic semistability and approximate critical metrics (2004) (36)
Kähler-Einstein metrics for manifolds with nonvanishing Futaki character (2001) (33)
Chow-stability and Hilbert-stability in Mumford's Geometric Invariant Theory (2006) (23)
Moment maps and symmetric multilinear forms associated with symplectic classes (2002) (22)
Stability and Einstein-Kähler Metric of a Quartic del Pezzo Surface (2020) (20)
An Algebraic Character associated with the Poisson Brackets (1990) (19)
On the classification of essentially effective SL(n;C)-actions on algebraic n-folds (1979) (19)
C 3-Actions and algebraic threefolds with ample tangent bundle (1978) (18)
Einstein-Kähler Metrics with Positive Ricci Curvature (1990) (16)
A THEOREM OF CALABI-MATSUSHIMA'S TYPE (2002) (16)
Asymptotics of polybalanced metrics under relative stability constraints (2011) (15)
Stability of extremal K\"ahler manifolds (2004) (14)
On some integral invariants on complex manifolds, I (1986) (14)
Extremal metrics and stabilities on polarized manifolds (2006) (13)
A functional integrating Futaki's invariant (1985) (13)
Relative stability and extremal metrics (2014) (11)
Invariant β and uniruled threefolds (1982) (10)
HEAT KERNEL ESTIMATES AND THE GREEN FUNCTIONS ON MULTIPLIER HERMITIAN MANIFOLDS (2002) (10)
The Donaldson–Futaki Invariant for Sequences of Test Configurations (2013) (10)
New examples of Sasaki-Einstein manifolds (2011) (9)
Vector Field Energies and Critical Metrics on Kähler Manifolds (2001) (9)
Asymptotic polybalanced kernels on extremal Kaehler manifolds (2016) (9)
Strong K-stability and asymptotic Chow-stability (2013) (8)
On the classification of essentially effective SL(2;C)SL(2;C)-actions on algebraic threefolds (1979) (8)
The Bando-Calabi-Futaki character as an obstruction to semistability (2002) (7)
Geometry and Analysis on Complex Manifolds: Festschrift for Professor S Kobayashi's 60th Birthday (1994) (6)
An obstruction class and a representation of holomorphic automorphisms (1988) (5)
ALMOST HOMOGENEOUS TORUS ACTIONS ON VARIETIES WITH AMPLE TANGENT BUNDLE (1978) (5)
Equivariant embeddings of normal bundles of fixed point loci (1979) (5)
A CONJECTURE ON THE GROUP OF BIHOLOMORPHISMS OF A NONSINGULAR FANO VARIETY (1993) (5)
The Yau-Tian-Donaldson Conjecture for General Polarizations, I (2013) (2)
$Q$-rationality of moment maps (1993) (2)
Einstein Metrics in Complex Geometry: An Introduction (1990) (2)
A remark on Li-Xu's pathology (2013) (2)
Einstein metrics and Yang-Mills connections (2020) (2)
Compactification of the Moduli Space of Einstein–Kähler Orbifolds (1990) (2)
Algebraic threefolds with ample tangent bundle (1977) (2)
Existence problem of extremal Kaehler metrics (2013) (1)
The Bando-Calabi-Futaki character as an obstruction to semistability (2002) (1)
Generalized Futaki Invariant of Almost Fano Toric Varieties, Examples (2008) (1)
Stability Theorem (2021) (0)
The Yau–Tian–Donaldson Conjecture (2021) (0)
Norms for Test Configurations (2021) (0)
Geometry and Analysis on Manifolds (2015) (0)
Title Asymptotics of polybalanced metrics underrelative stability constraints (0)
FACTIONS AND ALGEBRAIC THREEFOLDS WITH AMPLE TANGENT BUNDLE (2004) (0)
Title Asymptotics of polybalanced metrics underrelative stability constraints (0)
An obstruction to semistability of manifolds (2001) (0)
The Donaldson–Futaki Invariant (2021) (0)
An ℓ-th root of a test configuration of exponent ℓ (2016) (0)
An affine sphere equation associated to Einstein toric surfaces (2007) (0)
Title An energy-theoretic approach to the Hitchin-Kobayashi (0)
Canonical Kähler Metrics on Fano Manifolds (2021) (0)
Stabilities for Polarized Algebraic Manifolds (2021) (0)
Canonical Kähler Metrics (2021) (0)
A TORELLI-TYPE THEOREM FOR STABLE CURVES (1994) (0)
Title Equivariant embeddings of normal bundles offixed point loci (0)
Einstein-Kahler metrics with positive Ricci curvature(Geometry of Moduli spaces and 4-dimensional Manifolds) (1987) (0)
Test Configurations, Stabilities and Canonical Kähler Metrics (2021) (0)
Title On the classification of essentially effectiveSL ( 2 ; C ) SL ( 2 ; C )-actions on algebraic threefolds (0)
Existence Problem (2021) (0)
Introduction (2021) (0)

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What Schools Are Affiliated With Toshiki Mabuchi?

Toshiki Mabuchi is affiliated with the following schools:

Osaka University

Toshiki Mabuchi's Academic­Influence.com Rankings

Toshiki Mabuchi's Degrees

Similar Degrees You Can Earn

Why Is Toshiki Mabuchi Influential?

Toshiki Mabuchi's Published Works

Published Works

What Schools Are Affiliated With Toshiki Mabuchi?

Toshiki Mabuchi's AcademicInfluence.com Rankings