Pinching below $\frac14$, injectivity radius, and conjugate radius
نویسندگان
چکیده
منابع مشابه
Injectivity Radius of Lorentzian Manifolds
Motivated by the application to spacetimes of general relativity we investigate the geometry and regularity of Lorentzianmanifolds under certain curvature and volume bounds. We establish several injectivity radius estimates at a point or on the past null cone of a point. Our estimates are entirely local and geometric, and are formulated via a reference Riemannian metric that we canonically asso...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1994
ISSN: 0022-040X
DOI: 10.4310/jdg/1214455781