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This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma...

A bumpy metric theorem and the Poisson relation for generic strictly convex domains.

Luchezar N. Stojanov (1990)

Mathematische Annalen

A $C^{0}$ -theory for the blow-up of second order elliptic equations of critical Sobolev growth.

Druet, Olivier, Hebey, Emmanuel, Robert, Frédéric (2003)

Electronic Research Announcements of the American Mathematical Society [electronic only]

A canonical connection associated with certain $G$ -structures

José M. Sierra, Antonio Valdés (1997)

Czechoslovak Mathematical Journal

A canonical connection on sub-Riemannian contact manifolds

Michael Eastwood, Katharina Neusser (2016)

Archivum Mathematicum

We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.

A Canonical Form for Compact Nonpositively Curved Manifolds Whose Fundamental Groups Have Nontrivial Center.

Patrick Eberlein (1982)

Mathematische Annalen

A canonical metric for Möbius structures and its applications.

Ravi S. Kulkarni, Ulrich Pinkall (1994)

Mathematische Zeitschrift

A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.

Colum Watt (2001)

Publicacions Matemàtiques

We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.

A case study of quantization of curves surfaces: The Myllar balloon

Mladenov, Ivaïlo M. (2004)

Proceedings of the 23rd Winter School "Geometry and Physics"

A certain complete space-like hypersurface in Lorentz manifolds.

Kim, Hyang Sook, Kim, Young-Mi (2004)

Balkan Journal of Geometry and its Applications (BJGA)

A certain inversion problem for the ray transform with incomplete data.

Begmatov, Akram Kh. (2001)

Sibirskij Matematicheskij Zhurnal

A certain tensor on real hypersurfaces in a nonflat complex space form

Kazuhiro Okumura (2020)

Czechoslovak Mathematical Journal

In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(φ, ξ, η, g)$ induced from the ambient space. As a matter of course, many geometers have investigated real hypersurfaces in a nonflat complex space form from the viewpoint of almost contact metric geometry. On the other hand, it is known that the tensor field $h$ $...$

A Characteristic Eigenfunction for Minimal Hypersurfaces in Space Forms.

Steen Markvorsen (1989)

Mathematische Zeitschrift

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