Udhav Fowdar

activity

20202026

most cited

S^{1}

-invariant Laplacian flow

8 citations · 16 across the 13 of their papers we have counts for

collaborators

13 papers

math.DG2026

Sasaki with torsion manifolds and string backgrounds

Beatrice Brienza, Anna Fino, Udhav Fowdar +1

Motivated by the analogy with the Bismut connection in Hermitian geometry, we study Sasaki with torsion manifolds. In particular, we characterize co-Kähler-like and flat Sasaki wit…

math.DG2026

Flows of geometric structures II

Daniel Fadel, Udhav Fowdar, Eric Loubeau +2

We advance the general theory of flows of tensorial $H$ -structures, focusing on non-isometric flows and on the case $H = SU (m) \subset SO (2 m)$ . Afte…

math.DG2026

Isometric solutions to the heterotic $G_{2}$ -system

Viviana del Barco, Udhav Fowdar, Andrés J. Moreno

In this note, we construct new solutions to the heterotic $G_{2}$ -system with non-abelian gauge group, both compact and non-compact, on certain $2$ -step nilmanifolds and $3$ …

math.DG2025

The holonomy of the Obata connection on Joyce hypercomplex manifolds

Beatrice Brienza, Udhav Fowdar, Giovanni Gentili +1

We study the holonomy of the Obata connection on Joyce hypercomplex manifolds. For all such group manifolds except $SU (2 n + 1)$ , we show that the holonomy group is strictly…

math.DG2025★ 1 cited

Some remarks on strong $G_{2}$ -structures with torsion

Anna Fino, Udhav Fowdar

A $G_{2}$ -structure on a $7$ -manifold $M$ is called a $G_{2} T$ -structure if $M$ admits a $G_{2}$ -connection $\nabla^{T}$ with totally skew-symmetric torsion $T_φ…

math.DG2024★ 1 cited

Flows of SU(2)-structures

Udhav Fowdar, Henrique N. Sá Earp

This paper initiates a classification programme of flows of $SU (2)$ -structures on $4$ -manifolds which have short-time existence and uniqueness. Our approach adapts a repre…

math.DG2023

Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections

Udhav Fowdar

We construct examples of deformed Hermitian Yang-Mills connections and deformed Spin(7)-instantons (also called Spin(7) deformed Donaldson-Thomas connections) on the cotangent bund…

math.DG2023

Harmonic flow of quaternion-Kähler structures

Udhav Fowdar, Henrique N. Sá Earp

We formulate the gradient Dirichlet flow of $S p (2) S p (1)$ -structures on $8$ -manifolds, as the first systematic study of a geometric quaternion-Kähler (QK) flow. Its critical conditi…

math.DG2022★ 1 cited

Deformed $G_{2}$ -instantons on $R^{4} \times S^{3}$

Udhav Fowdar

We construct explicit examples of deformed $G_{2}$ -instantons, also called Donaldson-Thomas connections, on $R^{4} \times S^{3}$ endowed with the torsion free $G_{2}$ -structure fo…

math.DG2022

Explicit abelian instantons on $S^{1}$ -invariant Kähler Einstein $6$ -manifolds

Udhav Fowdar

We consider a dimensional reduction of the (deformed) Hermitian Yang-Mills condition on $S^{1}$ -invariant Kähler Einstein $6$ -manifolds. This allows us to reformulate the (deformed)…

math.DG2021★ 3 cited

Einstein metrics on bundles over hyperKähler manifolds

Udhav Fowdar

We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. We study the infinitesimal symmetries of these examples and t…

math.DG2020★ 8 cited

$S^{1}$ -invariant Laplacian flow

Udhav Fowdar

The Laplacian flow is a geometric flow introduced by Bryant as a way for finding torsion free $G_{2}$ -structures. If the flow is $S^{1}$ -invariant then it descends to a flow of $S U (3)$ …

math.DG2020★ 2 cited

Spin(7) metrics from Kähler Geometry

Udhav Fowdar

We investigate the $T^{2}$ -quotient of a torsion free $S p in (7)$ -structure on an $8$ -manifold under the assumption that the quotient $6$ -manifold is Kähler. We show that ther…

Sasaki with torsion manifolds and string backgrounds

Flows of geometric structures II

Isometric solutions to the heterotic G2​-system

The holonomy of the Obata connection on Joyce hypercomplex manifolds

Some remarks on strong G2​-structures with torsion

Flows of SU(2)-structures

Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections

Harmonic flow of quaternion-Kähler structures

Deformed G2​-instantons on R4×S3

Explicit abelian instantons on S1-invariant Kähler Einstein 6-manifolds

Einstein metrics on bundles over hyperKähler manifolds

S1-invariant Laplacian flow

Spin(7) metrics from Kähler Geometry

Isometric solutions to the heterotic $G_{2}$ -system

Some remarks on strong $G_{2}$ -structures with torsion

Deformed $G_{2}$ -instantons on $R^{4} \times S^{3}$

Explicit abelian instantons on $S^{1}$ -invariant Kähler Einstein $6$ -manifolds

$S^{1}$ -invariant Laplacian flow