By Robert L. Bryant, Sigurdur Helgason, R. O. Wells Jr.

ISBN-10: 0821850717

ISBN-13: 9780821850718

ISBN-10: 1819813053

ISBN-13: 9781819813050

ISBN-10: 7119657577

ISBN-13: 9787119657578

The subject of necessary geometry isn't besides often called its counterpart, differential geometry. notwithstanding, study in fundamental geometry has indicated that this box may possibly yield as both deep insights as differential geometry has into the worldwide and native nature of manifolds and the features on them. In 1984, an AMS-IMS-SIAM joint summer season learn convention on critical geometry used to be held at Bowdoin collage. This quantity involves papers awarded there.

The papers diversity from merely expository to really technical and characterize an exceptional survey of latest paintings in fundamental geometry. 3 significant parts are lined: the classical difficulties of computing geometric invariants by means of statistical averaging techniques; the circle of rules in regards to the Radon remodel, going back\notices{\vadjust{}} to the seminal paintings of Funck and Radon round 1916--1917; and integral-geometric transforms which at the moment are getting used within the research of box equations in mathematical physics. a few of these components additionally contain group-representation theoretic difficulties