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Geodesics on the K\"ahler cone of the Heisenberg group
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In this paper, we describe the geodesics on the K\"ahler cone of the Heisenberg group. Furthermore, we also prove that this is not a complete manifold.
Abstract
In this paper, we describe the geodesics on the K\"ahler cone of the Heisenberg group. Furthermore, we also prove that this is not a complete manifold.
참고문헌 (9)
- C. P. Boyer, "The Sasakian geometry of the Heisenberg group", Bull. Math. Soc. Sci. Math. Roumanie, 52(100), pp.251~262 (2009)
- L. Capogna, "Progress in Mathematics" (2007), Birkhauser Verlag
- W. M. Goldman, "Complex hyperbolic geometry" (1999), Oxford University Press
- P. Haj lasz, "Geodesics in the Heisenberg Group", Anal. Geom. Metr. Spaces, 3(1), pp.325~337 (2015)[DOI]
- "PCR Kahler equivalent metrics in the Siegel domain"[URL]
- V. Marenich, "Geodesics in Heisenberg groups", Geom. Dedicata, 66(2), pp.175~185 (1997)[DOI]
- G. A. Noskov, "Geodesics in the Heisenberg group: an elementary approach", Sib. Electr. Math. Izv, 5, pp.177~188 (2008)
- "Notes on Complex Hyperbolic Geometry"[URL]
- "Half plane geometries: zero and unbounded negative curvature"[URL]
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